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Finding the Fourth Proportional to 487.66, 672.95 and 277.85

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Solution

The fourth proportional to 487.66, 672.95 and 277.85 is: 383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.66 : 672.95 = 277.85 : x
  2. Step 2: Convert to fraction form
    487.66/672.95 = 277.85/x
  3. Step 3: Cross multiply
    487.66x = 672.95 × 277.85
  4. Step 4: Simplify right side
    487.66x = 186,974.40
  5. Step 5: Solve for x
    x = 186,974.40/487.66
  6. Step 6: Final answer
    x = 383.42

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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.