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Finding the Fourth Proportional to 534.32, 736.88 and 416.32

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Solution

The fourth proportional to 534.32, 736.88 and 416.32 is: 574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.32 : 736.88 = 416.32 : x
  2. Step 2: Convert to fraction form
    534.32/736.88 = 416.32/x
  3. Step 3: Cross multiply
    534.32x = 736.88 × 416.32
  4. Step 4: Simplify right side
    534.32x = 306,777.88
  5. Step 5: Solve for x
    x = 306,777.88/534.32
  6. Step 6: Final answer
    x = 574.15

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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.