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Finding the Fourth Proportional to 424.57, 586.35 and 378.76

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Solution

The fourth proportional to 424.57, 586.35 and 378.76 is: 523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.57 : 586.35 = 378.76 : x
  2. Step 2: Convert to fraction form
    424.57/586.35 = 378.76/x
  3. Step 3: Cross multiply
    424.57x = 586.35 × 378.76
  4. Step 4: Simplify right side
    424.57x = 222,085.93
  5. Step 5: Solve for x
    x = 222,085.93/424.57
  6. Step 6: Final answer
    x = 523.08

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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.