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Finding the Fourth Proportional to 915.80, 1,262.50 and 616.50

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Solution

The fourth proportional to 915.80, 1,262.50 and 616.50 is: 849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.80 : 1,262.50 = 616.50 : x
  2. Step 2: Convert to fraction form
    915.80/1,262.50 = 616.50/x
  3. Step 3: Cross multiply
    915.80x = 1,262.50 × 616.50
  4. Step 4: Simplify right side
    915.80x = 778,329.71
  5. Step 5: Solve for x
    x = 778,329.71/915.80
  6. Step 6: Final answer
    x = 849.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.