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Finding the Fourth Proportional to 590.04, 889.11 and 489.58

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Solution

The fourth proportional to 590.04, 889.11 and 489.58 is: 737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.04 : 889.11 = 489.58 : x
  2. Step 2: Convert to fraction form
    590.04/889.11 = 489.58/x
  3. Step 3: Cross multiply
    590.04x = 889.11 × 489.58
  4. Step 4: Simplify right side
    590.04x = 435,290.47
  5. Step 5: Solve for x
    x = 435,290.47/590.04
  6. Step 6: Final answer
    x = 737.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.