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Finding the Fourth Proportional to 610.70, 914.28 and 391.58

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Solution

The fourth proportional to 610.70, 914.28 and 391.58 is: 586.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.70 : 914.28 = 391.58 : x
  2. Step 2: Convert to fraction form
    610.70/914.28 = 391.58/x
  3. Step 3: Cross multiply
    610.70x = 914.28 × 391.58
  4. Step 4: Simplify right side
    610.70x = 358,013.76
  5. Step 5: Solve for x
    x = 358,013.76/610.70
  6. Step 6: Final answer
    x = 586.24

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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.