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Finding the Fourth Proportional to 916.95, 1,265.18 and 562.85

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Solution

The fourth proportional to 916.95, 1,265.18 and 562.85 is: 776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.95 : 1,265.18 = 562.85 : x
  2. Step 2: Convert to fraction form
    916.95/1,265.18 = 562.85/x
  3. Step 3: Cross multiply
    916.95x = 1,265.18 × 562.85
  4. Step 4: Simplify right side
    916.95x = 712,097.42
  5. Step 5: Solve for x
    x = 712,097.42/916.95
  6. Step 6: Final answer
    x = 776.59

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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.