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Finding the Fourth Proportional to 927.16, 1,279.60 and 534.22

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Solution

The fourth proportional to 927.16, 1,279.60 and 534.22 is: 737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.16 : 1,279.60 = 534.22 : x
  2. Step 2: Convert to fraction form
    927.16/1,279.60 = 534.22/x
  3. Step 3: Cross multiply
    927.16x = 1,279.60 × 534.22
  4. Step 4: Simplify right side
    927.16x = 683,587.91
  5. Step 5: Solve for x
    x = 683,587.91/927.16
  6. Step 6: Final answer
    x = 737.29

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1.5x scale

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.