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Finding the Fourth Proportional to 589.60, 880.18 and 548.61

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Solution

The fourth proportional to 589.60, 880.18 and 548.61 is: 818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.60 : 880.18 = 548.61 : x
  2. Step 2: Convert to fraction form
    589.60/880.18 = 548.61/x
  3. Step 3: Cross multiply
    589.60x = 880.18 × 548.61
  4. Step 4: Simplify right side
    589.60x = 482,875.55
  5. Step 5: Solve for x
    x = 482,875.55/589.60
  6. Step 6: Final answer
    x = 818.99

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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.