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Finding the Fourth Proportional to 756.44, 1,042.37 and 546.24

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Solution

The fourth proportional to 756.44, 1,042.37 and 546.24 is: 752.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.44 : 1,042.37 = 546.24 : x
  2. Step 2: Convert to fraction form
    756.44/1,042.37 = 546.24/x
  3. Step 3: Cross multiply
    756.44x = 1,042.37 × 546.24
  4. Step 4: Simplify right side
    756.44x = 569,381.46
  5. Step 5: Solve for x
    x = 569,381.46/756.44
  6. Step 6: Final answer
    x = 752.72

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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.