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Finding the Fourth Proportional to 708.92, 1,061.92 and 700.28

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Solution

The fourth proportional to 708.92, 1,061.92 and 700.28 is: 1,048.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.92 : 1,061.92 = 700.28 : x
  2. Step 2: Convert to fraction form
    708.92/1,061.92 = 700.28/x
  3. Step 3: Cross multiply
    708.92x = 1,061.92 × 700.28
  4. Step 4: Simplify right side
    708.92x = 743,641.34
  5. Step 5: Solve for x
    x = 743,641.34/708.92
  6. Step 6: Final answer
    x = 1,048.98

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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.