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Finding the Fourth Proportional to 534.40, 735.68 and 460.28

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Solution

The fourth proportional to 534.40, 735.68 and 460.28 is: 633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.40 : 735.68 = 460.28 : x
  2. Step 2: Convert to fraction form
    534.40/735.68 = 460.28/x
  3. Step 3: Cross multiply
    534.40x = 735.68 × 460.28
  4. Step 4: Simplify right side
    534.40x = 338,621.78
  5. Step 5: Solve for x
    x = 338,621.78/534.40
  6. Step 6: Final answer
    x = 633.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.