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Finding the Fourth Proportional to 1,106.71, 1,526.99 and 702.79

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Solution

The fourth proportional to 1,106.71, 1,526.99 and 702.79 is: 969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.71 : 1,526.99 = 702.79 : x
  2. Step 2: Convert to fraction form
    1,106.71/1,526.99 = 702.79/x
  3. Step 3: Cross multiply
    1,106.71x = 1,526.99 × 702.79
  4. Step 4: Simplify right side
    1,106.71x = 1,073,154.56
  5. Step 5: Solve for x
    x = 1,073,154.56/1,106.71
  6. Step 6: Final answer
    x = 969.68

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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.