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Finding the Fourth Proportional to 590.18, 878.86 and 583.70

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Solution

The fourth proportional to 590.18, 878.86 and 583.70 is: 869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.18 : 878.86 = 583.70 : x
  2. Step 2: Convert to fraction form
    590.18/878.86 = 583.70/x
  3. Step 3: Cross multiply
    590.18x = 878.86 × 583.70
  4. Step 4: Simplify right side
    590.18x = 512,990.58
  5. Step 5: Solve for x
    x = 512,990.58/590.18
  6. Step 6: Final answer
    x = 869.21

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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.