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Finding the Fourth Proportional to 1,165.88, 1,747.78 and 435.49

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Solution

The fourth proportional to 1,165.88, 1,747.78 and 435.49 is: 652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.88 : 1,747.78 = 435.49 : x
  2. Step 2: Convert to fraction form
    1,165.88/1,747.78 = 435.49/x
  3. Step 3: Cross multiply
    1,165.88x = 1,747.78 × 435.49
  4. Step 4: Simplify right side
    1,165.88x = 761,140.71
  5. Step 5: Solve for x
    x = 761,140.71/1,165.88
  6. Step 6: Final answer
    x = 652.85

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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.