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Finding the Fourth Proportional to 916.46, 1,265.12 and 601.73

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Solution

The fourth proportional to 916.46, 1,265.12 and 601.73 is: 830.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.46 : 1,265.12 = 601.73 : x
  2. Step 2: Convert to fraction form
    916.46/1,265.12 = 601.73/x
  3. Step 3: Cross multiply
    916.46x = 1,265.12 × 601.73
  4. Step 4: Simplify right side
    916.46x = 761,260.66
  5. Step 5: Solve for x
    x = 761,260.66/916.46
  6. Step 6: Final answer
    x = 830.65

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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.