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Finding the Fourth Proportional to 1,118.41, 1,678.07 and 501.95

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Solution

The fourth proportional to 1,118.41, 1,678.07 and 501.95 is: 753.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.41 : 1,678.07 = 501.95 : x
  2. Step 2: Convert to fraction form
    1,118.41/1,678.07 = 501.95/x
  3. Step 3: Cross multiply
    1,118.41x = 1,678.07 × 501.95
  4. Step 4: Simplify right side
    1,118.41x = 842,304.73
  5. Step 5: Solve for x
    x = 842,304.73/1,118.41
  6. Step 6: Final answer
    x = 753.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.