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Finding the Fourth Proportional to 928.52, 1,400.15 and 916.16

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Solution

The fourth proportional to 928.52, 1,400.15 and 916.16 is: 1,381.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.52 : 1,400.15 = 916.16 : x
  2. Step 2: Convert to fraction form
    928.52/1,400.15 = 916.16/x
  3. Step 3: Cross multiply
    928.52x = 1,400.15 × 916.16
  4. Step 4: Simplify right side
    928.52x = 1,282,760.34
  5. Step 5: Solve for x
    x = 1,282,760.34/928.52
  6. Step 6: Final answer
    x = 1,381.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.