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Finding the Fourth Proportional to 590.10, 878.68 and 583.58

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Solution

The fourth proportional to 590.10, 878.68 and 583.58 is: 868.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.10 : 878.68 = 583.58 : x
  2. Step 2: Convert to fraction form
    590.10/878.68 = 583.58/x
  3. Step 3: Cross multiply
    590.10x = 878.68 × 583.58
  4. Step 4: Simplify right side
    590.10x = 512,780.07
  5. Step 5: Solve for x
    x = 512,780.07/590.10
  6. Step 6: Final answer
    x = 868.97

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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.