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Finding the Fourth Proportional to 689.92, 953.60 and 580.98

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Solution

The fourth proportional to 689.92, 953.60 and 580.98 is: 803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.92 : 953.60 = 580.98 : x
  2. Step 2: Convert to fraction form
    689.92/953.60 = 580.98/x
  3. Step 3: Cross multiply
    689.92x = 953.60 × 580.98
  4. Step 4: Simplify right side
    689.92x = 554,022.53
  5. Step 5: Solve for x
    x = 554,022.53/689.92
  6. Step 6: Final answer
    x = 803.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.