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Finding the Fourth Proportional to 617.58, 927.48 and 590.58

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Solution

The fourth proportional to 617.58, 927.48 and 590.58 is: 886.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.58 : 927.48 = 590.58 : x
  2. Step 2: Convert to fraction form
    617.58/927.48 = 590.58/x
  3. Step 3: Cross multiply
    617.58x = 927.48 × 590.58
  4. Step 4: Simplify right side
    617.58x = 547,751.14
  5. Step 5: Solve for x
    x = 547,751.14/617.58
  6. Step 6: Final answer
    x = 886.93

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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.