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Finding the Fourth Proportional to 610.52, 914.99 and 391.06

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Solution

The fourth proportional to 610.52, 914.99 and 391.06 is: 586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.52 : 914.99 = 391.06 : x
  2. Step 2: Convert to fraction form
    610.52/914.99 = 391.06/x
  3. Step 3: Cross multiply
    610.52x = 914.99 × 391.06
  4. Step 4: Simplify right side
    610.52x = 357,817.38
  5. Step 5: Solve for x
    x = 357,817.38/610.52
  6. Step 6: Final answer
    x = 586.09

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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.