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Finding the Fourth Proportional to 475.29, 708.80 and 407.25

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Solution

The fourth proportional to 475.29, 708.80 and 407.25 is: 607.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.29 : 708.80 = 407.25 : x
  2. Step 2: Convert to fraction form
    475.29/708.80 = 407.25/x
  3. Step 3: Cross multiply
    475.29x = 708.80 × 407.25
  4. Step 4: Simplify right side
    475.29x = 288,656.76
  5. Step 5: Solve for x
    x = 288,656.76/475.29
  6. Step 6: Final answer
    x = 607.33

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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.