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Finding the Fourth Proportional to 1,165.24, 1,747.86 and 435

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Solution

The fourth proportional to 1,165.24, 1,747.86 and 435 is: 652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.24 : 1,747.86 = 435 : x
  2. Step 2: Convert to fraction form
    1,165.24/1,747.86 = 435/x
  3. Step 3: Cross multiply
    1,165.24x = 1,747.86 × 435
  4. Step 4: Simplify right side
    1,165.24x = 760,319.10
  5. Step 5: Solve for x
    x = 760,319.10/1,165.24
  6. Step 6: Final answer
    x = 652.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,166.24, 1,749.36 and 436
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.