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Finding the Fourth Proportional to 590.64, 884.10 and 486.96

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Solution

The fourth proportional to 590.64, 884.10 and 486.96 is: 728.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.64 : 884.10 = 486.96 : x
  2. Step 2: Convert to fraction form
    590.64/884.10 = 486.96/x
  3. Step 3: Cross multiply
    590.64x = 884.10 × 486.96
  4. Step 4: Simplify right side
    590.64x = 430,521.34
  5. Step 5: Solve for x
    x = 430,521.34/590.64
  6. Step 6: Final answer
    x = 728.91

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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.