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Finding the Fourth Proportional to 864.47, 1,297.31 and 590.82

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Solution

The fourth proportional to 864.47, 1,297.31 and 590.82 is: 886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.47 : 1,297.31 = 590.82 : x
  2. Step 2: Convert to fraction form
    864.47/1,297.31 = 590.82/x
  3. Step 3: Cross multiply
    864.47x = 1,297.31 × 590.82
  4. Step 4: Simplify right side
    864.47x = 766,473.74
  5. Step 5: Solve for x
    x = 766,473.74/864.47
  6. Step 6: Final answer
    x = 886.65

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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.