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Finding the Fourth Proportional to 534.90, 736.65 and 387.30

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Solution

The fourth proportional to 534.90, 736.65 and 387.30 is: 533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.90 : 736.65 = 387.30 : x
  2. Step 2: Convert to fraction form
    534.90/736.65 = 387.30/x
  3. Step 3: Cross multiply
    534.90x = 736.65 × 387.30
  4. Step 4: Simplify right side
    534.90x = 285,304.55
  5. Step 5: Solve for x
    x = 285,304.55/534.90
  6. Step 6: Final answer
    x = 533.38

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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.