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Finding the Fourth Proportional to 590.80, 880.43 and 572.98

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Solution

The fourth proportional to 590.80, 880.43 and 572.98 is: 853.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.80 : 880.43 = 572.98 : x
  2. Step 2: Convert to fraction form
    590.80/880.43 = 572.98/x
  3. Step 3: Cross multiply
    590.80x = 880.43 × 572.98
  4. Step 4: Simplify right side
    590.80x = 504,471.22
  5. Step 5: Solve for x
    x = 504,471.22/590.80
  6. Step 6: Final answer
    x = 853.88

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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.