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Finding the Fourth Proportional to 916.48, 1,263.63 and 759.29

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Solution

The fourth proportional to 916.48, 1,263.63 and 759.29 is: 1,046.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.48 : 1,263.63 = 759.29 : x
  2. Step 2: Convert to fraction form
    916.48/1,263.63 = 759.29/x
  3. Step 3: Cross multiply
    916.48x = 1,263.63 × 759.29
  4. Step 4: Simplify right side
    916.48x = 959,458.15
  5. Step 5: Solve for x
    x = 959,458.15/916.48
  6. Step 6: Final answer
    x = 1,046.89

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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.