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Finding the Fourth Proportional to 598.53, 891.63 and 580.40

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Solution

The fourth proportional to 598.53, 891.63 and 580.40 is: 864.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.53 : 891.63 = 580.40 : x
  2. Step 2: Convert to fraction form
    598.53/891.63 = 580.40/x
  3. Step 3: Cross multiply
    598.53x = 891.63 × 580.40
  4. Step 4: Simplify right side
    598.53x = 517,500.94
  5. Step 5: Solve for x
    x = 517,500.94/598.53
  6. Step 6: Final answer
    x = 864.61

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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.