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Finding the Fourth Proportional to 864.19, 1,294.62 and 497.89

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Solution

The fourth proportional to 864.19, 1,294.62 and 497.89 is: 745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.19 : 1,294.62 = 497.89 : x
  2. Step 2: Convert to fraction form
    864.19/1,294.62 = 497.89/x
  3. Step 3: Cross multiply
    864.19x = 1,294.62 × 497.89
  4. Step 4: Simplify right side
    864.19x = 644,578.35
  5. Step 5: Solve for x
    x = 644,578.35/864.19
  6. Step 6: Final answer
    x = 745.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.