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Finding the Fourth Proportional to 590.87, 881.02 and 590.06

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Solution

The fourth proportional to 590.87, 881.02 and 590.06 is: 879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.87 : 881.02 = 590.06 : x
  2. Step 2: Convert to fraction form
    590.87/881.02 = 590.06/x
  3. Step 3: Cross multiply
    590.87x = 881.02 × 590.06
  4. Step 4: Simplify right side
    590.87x = 519,854.66
  5. Step 5: Solve for x
    x = 519,854.66/590.87
  6. Step 6: Final answer
    x = 879.81

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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.