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Finding the Fourth Proportional to 775.31, 1,158.30 and 613.10

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Solution

The fourth proportional to 775.31, 1,158.30 and 613.10 is: 915.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.31 : 1,158.30 = 613.10 : x
  2. Step 2: Convert to fraction form
    775.31/1,158.30 = 613.10/x
  3. Step 3: Cross multiply
    775.31x = 1,158.30 × 613.10
  4. Step 4: Simplify right side
    775.31x = 710,156.63
  5. Step 5: Solve for x
    x = 710,156.63/775.31
  6. Step 6: Final answer
    x = 915.97

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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.