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Finding the Fourth Proportional to 424.95, 586.73 and 277.85

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Solution

The fourth proportional to 424.95, 586.73 and 277.85 is: 383.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.95 : 586.73 = 277.85 : x
  2. Step 2: Convert to fraction form
    424.95/586.73 = 277.85/x
  3. Step 3: Cross multiply
    424.95x = 586.73 × 277.85
  4. Step 4: Simplify right side
    424.95x = 163,022.93
  5. Step 5: Solve for x
    x = 163,022.93/424.95
  6. Step 6: Final answer
    x = 383.63

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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.