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Finding the Fourth Proportional to 926.54, 1,279.68 and 631.30

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Solution

The fourth proportional to 926.54, 1,279.68 and 631.30 is: 871.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.54 : 1,279.68 = 631.30 : x
  2. Step 2: Convert to fraction form
    926.54/1,279.68 = 631.30/x
  3. Step 3: Cross multiply
    926.54x = 1,279.68 × 631.30
  4. Step 4: Simplify right side
    926.54x = 807,852.43
  5. Step 5: Solve for x
    x = 807,852.43/926.54
  6. Step 6: Final answer
    x = 871.90

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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.