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Finding the Fourth Proportional to 663, 987.91 and 590.30

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Solution

The fourth proportional to 663, 987.91 and 590.30 is: 879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    663 : 987.91 = 590.30 : x
  2. Step 2: Convert to fraction form
    663/987.91 = 590.30/x
  3. Step 3: Cross multiply
    663x = 987.91 × 590.30
  4. Step 4: Simplify right side
    663x = 583,163.27
  5. Step 5: Solve for x
    x = 583,163.27/663
  6. Step 6: Final answer
    x = 879.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.