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Finding the Fourth Proportional to 1,109.94, 1,531.76 and 690.35

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Solution

The fourth proportional to 1,109.94, 1,531.76 and 690.35 is: 952.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.94 : 1,531.76 = 690.35 : x
  2. Step 2: Convert to fraction form
    1,109.94/1,531.76 = 690.35/x
  3. Step 3: Cross multiply
    1,109.94x = 1,531.76 × 690.35
  4. Step 4: Simplify right side
    1,109.94x = 1,057,439.41
  5. Step 5: Solve for x
    x = 1,057,439.41/1,109.94
  6. Step 6: Final answer
    x = 952.70

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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.