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Finding the Fourth Proportional to 756.18, 1,042.20 and 735.12

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Solution

The fourth proportional to 756.18, 1,042.20 and 735.12 is: 1,013.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.18 : 1,042.20 = 735.12 : x
  2. Step 2: Convert to fraction form
    756.18/1,042.20 = 735.12/x
  3. Step 3: Cross multiply
    756.18x = 1,042.20 × 735.12
  4. Step 4: Simplify right side
    756.18x = 766,142.06
  5. Step 5: Solve for x
    x = 766,142.06/756.18
  6. Step 6: Final answer
    x = 1,013.17

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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.