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Finding the Fourth Proportional to 864.40, 1,296.61 and 377.10

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Solution

The fourth proportional to 864.40, 1,296.61 and 377.10 is: 565.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.40 : 1,296.61 = 377.10 : x
  2. Step 2: Convert to fraction form
    864.40/1,296.61 = 377.10/x
  3. Step 3: Cross multiply
    864.40x = 1,296.61 × 377.10
  4. Step 4: Simplify right side
    864.40x = 488,951.63
  5. Step 5: Solve for x
    x = 488,951.63/864.40
  6. Step 6: Final answer
    x = 565.65

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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.