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Finding the Fourth Proportional to 610.89, 916.30 and 502.44

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Solution

The fourth proportional to 610.89, 916.30 and 502.44 is: 753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.89 : 916.30 = 502.44 : x
  2. Step 2: Convert to fraction form
    610.89/916.30 = 502.44/x
  3. Step 3: Cross multiply
    610.89x = 916.30 × 502.44
  4. Step 4: Simplify right side
    610.89x = 460,385.77
  5. Step 5: Solve for x
    x = 460,385.77/610.89
  6. Step 6: Final answer
    x = 753.63

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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.