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Finding the Fourth Proportional to 916.61, 1,372.95 and 852.49

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Solution

The fourth proportional to 916.61, 1,372.95 and 852.49 is: 1,276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.61 : 1,372.95 = 852.49 : x
  2. Step 2: Convert to fraction form
    916.61/1,372.95 = 852.49/x
  3. Step 3: Cross multiply
    916.61x = 1,372.95 × 852.49
  4. Step 4: Simplify right side
    916.61x = 1,170,426.15
  5. Step 5: Solve for x
    x = 1,170,426.15/916.61
  6. Step 6: Final answer
    x = 1,276.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.