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Finding the Fourth Proportional to 590.52, 880.71 and 580.80

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Solution

The fourth proportional to 590.52, 880.71 and 580.80 is: 866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.52 : 880.71 = 580.80 : x
  2. Step 2: Convert to fraction form
    590.52/880.71 = 580.80/x
  3. Step 3: Cross multiply
    590.52x = 880.71 × 580.80
  4. Step 4: Simplify right side
    590.52x = 511,516.37
  5. Step 5: Solve for x
    x = 511,516.37/590.52
  6. Step 6: Final answer
    x = 866.21

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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.