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Finding the Fourth Proportional to 1,006.22, 1,389.18 and 769.74

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Solution

The fourth proportional to 1,006.22, 1,389.18 and 769.74 is: 1,062.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.22 : 1,389.18 = 769.74 : x
  2. Step 2: Convert to fraction form
    1,006.22/1,389.18 = 769.74/x
  3. Step 3: Cross multiply
    1,006.22x = 1,389.18 × 769.74
  4. Step 4: Simplify right side
    1,006.22x = 1,069,307.41
  5. Step 5: Solve for x
    x = 1,069,307.41/1,006.22
  6. Step 6: Final answer
    x = 1,062.70

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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.