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Finding the Fourth Proportional to 946.88, 1,306.29 and 553.22

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Solution

The fourth proportional to 946.88, 1,306.29 and 553.22 is: 763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.88 : 1,306.29 = 553.22 : x
  2. Step 2: Convert to fraction form
    946.88/1,306.29 = 553.22/x
  3. Step 3: Cross multiply
    946.88x = 1,306.29 × 553.22
  4. Step 4: Simplify right side
    946.88x = 722,665.75
  5. Step 5: Solve for x
    x = 722,665.75/946.88
  6. Step 6: Final answer
    x = 763.21

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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.