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Finding the Fourth Proportional to 864.10, 1,295.71 and 376.93

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Solution

The fourth proportional to 864.10, 1,295.71 and 376.93 is: 565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.10 : 1,295.71 = 376.93 : x
  2. Step 2: Convert to fraction form
    864.10/1,295.71 = 376.93/x
  3. Step 3: Cross multiply
    864.10x = 1,295.71 × 376.93
  4. Step 4: Simplify right side
    864.10x = 488,391.97
  5. Step 5: Solve for x
    x = 488,391.97/864.10
  6. Step 6: Final answer
    x = 565.20

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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.