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Finding the Fourth Proportional to 598.68, 891.83 and 580.55

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Solution

The fourth proportional to 598.68, 891.83 and 580.55 is: 864.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.68 : 891.83 = 580.55 : x
  2. Step 2: Convert to fraction form
    598.68/891.83 = 580.55/x
  3. Step 3: Cross multiply
    598.68x = 891.83 × 580.55
  4. Step 4: Simplify right side
    598.68x = 517,748.90
  5. Step 5: Solve for x
    x = 517,748.90/598.68
  6. Step 6: Final answer
    x = 864.82

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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.