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Finding the Fourth Proportional to 756.12, 1,042.33 and 506.90

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Solution

The fourth proportional to 756.12, 1,042.33 and 506.90 is: 698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.12 : 1,042.33 = 506.90 : x
  2. Step 2: Convert to fraction form
    756.12/1,042.33 = 506.90/x
  3. Step 3: Cross multiply
    756.12x = 1,042.33 × 506.90
  4. Step 4: Simplify right side
    756.12x = 528,357.08
  5. Step 5: Solve for x
    x = 528,357.08/756.12
  6. Step 6: Final answer
    x = 698.77

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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.