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Finding the Fourth Proportional to 916.67, 1,265.03 and 518.42

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Solution

The fourth proportional to 916.67, 1,265.03 and 518.42 is: 715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.67 : 1,265.03 = 518.42 : x
  2. Step 2: Convert to fraction form
    916.67/1,265.03 = 518.42/x
  3. Step 3: Cross multiply
    916.67x = 1,265.03 × 518.42
  4. Step 4: Simplify right side
    916.67x = 655,810.53
  5. Step 5: Solve for x
    x = 655,810.53/916.67
  6. Step 6: Final answer
    x = 715.43

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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.