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Finding the Fourth Proportional to 487.57, 672.74 and 277.78

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Solution

The fourth proportional to 487.57, 672.74 and 277.78 is: 383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.57 : 672.74 = 277.78 : x
  2. Step 2: Convert to fraction form
    487.57/672.74 = 277.78/x
  3. Step 3: Cross multiply
    487.57x = 672.74 × 277.78
  4. Step 4: Simplify right side
    487.57x = 186,868.96
  5. Step 5: Solve for x
    x = 186,868.96/487.57
  6. Step 6: Final answer
    x = 383.27

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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.