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Finding the Fourth Proportional to 756.37, 1,042.95 and 476.27

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Solution

The fourth proportional to 756.37, 1,042.95 and 476.27 is: 656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.37 : 1,042.95 = 476.27 : x
  2. Step 2: Convert to fraction form
    756.37/1,042.95 = 476.27/x
  3. Step 3: Cross multiply
    756.37x = 1,042.95 × 476.27
  4. Step 4: Simplify right side
    756.37x = 496,718.20
  5. Step 5: Solve for x
    x = 496,718.20/756.37
  6. Step 6: Final answer
    x = 656.72

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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.