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Finding the Fourth Proportional to 475.32, 708.24 and 455.04

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Solution

The fourth proportional to 475.32, 708.24 and 455.04 is: 678.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.32 : 708.24 = 455.04 : x
  2. Step 2: Convert to fraction form
    475.32/708.24 = 455.04/x
  3. Step 3: Cross multiply
    475.32x = 708.24 × 455.04
  4. Step 4: Simplify right side
    475.32x = 322,277.53
  5. Step 5: Solve for x
    x = 322,277.53/475.32
  6. Step 6: Final answer
    x = 678.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.