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Finding the Fourth Proportional to 630.42, 869.36 and 580.76

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Solution

The fourth proportional to 630.42, 869.36 and 580.76 is: 800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.42 : 869.36 = 580.76 : x
  2. Step 2: Convert to fraction form
    630.42/869.36 = 580.76/x
  3. Step 3: Cross multiply
    630.42x = 869.36 × 580.76
  4. Step 4: Simplify right side
    630.42x = 504,882.26
  5. Step 5: Solve for x
    x = 504,882.26/630.42
  6. Step 6: Final answer
    x = 800.87

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1.5x scale

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.