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Finding the Fourth Proportional to 1,038.57, 1,558.17 and 708.72

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Solution

The fourth proportional to 1,038.57, 1,558.17 and 708.72 is: 1,063.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.57 : 1,558.17 = 708.72 : x
  2. Step 2: Convert to fraction form
    1,038.57/1,558.17 = 708.72/x
  3. Step 3: Cross multiply
    1,038.57x = 1,558.17 × 708.72
  4. Step 4: Simplify right side
    1,038.57x = 1,104,306.24
  5. Step 5: Solve for x
    x = 1,104,306.24/1,038.57
  6. Step 6: Final answer
    x = 1,063.29

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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.