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Finding the Fourth Proportional to 946.25, 1,306.22 and 781.01

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Solution

The fourth proportional to 946.25, 1,306.22 and 781.01 is: 1,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.25 : 1,306.22 = 781.01 : x
  2. Step 2: Convert to fraction form
    946.25/1,306.22 = 781.01/x
  3. Step 3: Cross multiply
    946.25x = 1,306.22 × 781.01
  4. Step 4: Simplify right side
    946.25x = 1,020,160.45
  5. Step 5: Solve for x
    x = 1,020,160.45/946.25
  6. Step 6: Final answer
    x = 1,078.11

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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.