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Finding the Fourth Proportional to 916.36, 1,264.45 and 518.02

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Solution

The fourth proportional to 916.36, 1,264.45 and 518.02 is: 714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.36 : 1,264.45 = 518.02 : x
  2. Step 2: Convert to fraction form
    916.36/1,264.45 = 518.02/x
  3. Step 3: Cross multiply
    916.36x = 1,264.45 × 518.02
  4. Step 4: Simplify right side
    916.36x = 655,010.39
  5. Step 5: Solve for x
    x = 655,010.39/916.36
  6. Step 6: Final answer
    x = 714.80

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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.