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Finding the Fourth Proportional to 756.06, 1,042.47 and 645.18

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Solution

The fourth proportional to 756.06, 1,042.47 and 645.18 is: 889.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.06 : 1,042.47 = 645.18 : x
  2. Step 2: Convert to fraction form
    756.06/1,042.47 = 645.18/x
  3. Step 3: Cross multiply
    756.06x = 1,042.47 × 645.18
  4. Step 4: Simplify right side
    756.06x = 672,580.79
  5. Step 5: Solve for x
    x = 672,580.79/756.06
  6. Step 6: Final answer
    x = 889.59

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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.