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Finding the Fourth Proportional to 864.18, 1,190.43 and 758.88

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Solution

The fourth proportional to 864.18, 1,190.43 and 758.88 is: 1,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.18 : 1,190.43 = 758.88 : x
  2. Step 2: Convert to fraction form
    864.18/1,190.43 = 758.88/x
  3. Step 3: Cross multiply
    864.18x = 1,190.43 × 758.88
  4. Step 4: Simplify right side
    864.18x = 903,393.52
  5. Step 5: Solve for x
    x = 903,393.52/864.18
  6. Step 6: Final answer
    x = 1,045.38

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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.