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Finding the Fourth Proportional to 710.85, 1,061.20 and 601.47

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Solution

The fourth proportional to 710.85, 1,061.20 and 601.47 is: 897.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.85 : 1,061.20 = 601.47 : x
  2. Step 2: Convert to fraction form
    710.85/1,061.20 = 601.47/x
  3. Step 3: Cross multiply
    710.85x = 1,061.20 × 601.47
  4. Step 4: Simplify right side
    710.85x = 638,278.46
  5. Step 5: Solve for x
    x = 638,278.46/710.85
  6. Step 6: Final answer
    x = 897.91

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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.