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Finding the Fourth Proportional to 424.86, 583.18 and 377.20

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Solution

The fourth proportional to 424.86, 583.18 and 377.20 is: 517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.86 : 583.18 = 377.20 : x
  2. Step 2: Convert to fraction form
    424.86/583.18 = 377.20/x
  3. Step 3: Cross multiply
    424.86x = 583.18 × 377.20
  4. Step 4: Simplify right side
    424.86x = 219,975.50
  5. Step 5: Solve for x
    x = 219,975.50/424.86
  6. Step 6: Final answer
    x = 517.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.