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Finding the Fourth Proportional to 946.57, 1,306.07 and 553.52

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Solution

The fourth proportional to 946.57, 1,306.07 and 553.52 is: 763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.57 : 1,306.07 = 553.52 : x
  2. Step 2: Convert to fraction form
    946.57/1,306.07 = 553.52/x
  3. Step 3: Cross multiply
    946.57x = 1,306.07 × 553.52
  4. Step 4: Simplify right side
    946.57x = 722,930.72
  5. Step 5: Solve for x
    x = 722,930.72/946.57
  6. Step 6: Final answer
    x = 763.74

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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.