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Finding the Fourth Proportional to 916.18, 1,264.49 and 523.20

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Solution

The fourth proportional to 916.18, 1,264.49 and 523.20 is: 722.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.18 : 1,264.49 = 523.20 : x
  2. Step 2: Convert to fraction form
    916.18/1,264.49 = 523.20/x
  3. Step 3: Cross multiply
    916.18x = 1,264.49 × 523.20
  4. Step 4: Simplify right side
    916.18x = 661,581.17
  5. Step 5: Solve for x
    x = 661,581.17/916.18
  6. Step 6: Final answer
    x = 722.11

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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.