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Finding the Fourth Proportional to 708.52, 1,061.68 and 419.28

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Solution

The fourth proportional to 708.52, 1,061.68 and 419.28 is: 628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.52 : 1,061.68 = 419.28 : x
  2. Step 2: Convert to fraction form
    708.52/1,061.68 = 419.28/x
  3. Step 3: Cross multiply
    708.52x = 1,061.68 × 419.28
  4. Step 4: Simplify right side
    708.52x = 445,141.19
  5. Step 5: Solve for x
    x = 445,141.19/708.52
  6. Step 6: Final answer
    x = 628.27

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Why These Related Problems?

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