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Finding the Fourth Proportional to 760.62, 1,140.12 and 435.30

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Solution

The fourth proportional to 760.62, 1,140.12 and 435.30 is: 652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.62 : 1,140.12 = 435.30 : x
  2. Step 2: Convert to fraction form
    760.62/1,140.12 = 435.30/x
  3. Step 3: Cross multiply
    760.62x = 1,140.12 × 435.30
  4. Step 4: Simplify right side
    760.62x = 496,294.24
  5. Step 5: Solve for x
    x = 496,294.24/760.62
  6. Step 6: Final answer
    x = 652.49

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Half scale
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Double scale
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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.