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Finding the Fourth Proportional to 473.92, 709.42 and 358.80

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Solution

The fourth proportional to 473.92, 709.42 and 358.80 is: 537.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.92 : 709.42 = 358.80 : x
  2. Step 2: Convert to fraction form
    473.92/709.42 = 358.80/x
  3. Step 3: Cross multiply
    473.92x = 709.42 × 358.80
  4. Step 4: Simplify right side
    473.92x = 254,539.90
  5. Step 5: Solve for x
    x = 254,539.90/473.92
  6. Step 6: Final answer
    x = 537.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.