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Finding the Fourth Proportional to 916.37, 1,264.54 and 518.04

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Solution

The fourth proportional to 916.37, 1,264.54 and 518.04 is: 714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.37 : 1,264.54 = 518.04 : x
  2. Step 2: Convert to fraction form
    916.37/1,264.54 = 518.04/x
  3. Step 3: Cross multiply
    916.37x = 1,264.54 × 518.04
  4. Step 4: Simplify right side
    916.37x = 655,073.39
  5. Step 5: Solve for x
    x = 655,073.39/916.37
  6. Step 6: Final answer
    x = 714.86

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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.