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Finding the Fourth Proportional to 1,118.46, 1,677.50 and 296.78

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Solution

The fourth proportional to 1,118.46, 1,677.50 and 296.78 is: 445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.46 : 1,677.50 = 296.78 : x
  2. Step 2: Convert to fraction form
    1,118.46/1,677.50 = 296.78/x
  3. Step 3: Cross multiply
    1,118.46x = 1,677.50 × 296.78
  4. Step 4: Simplify right side
    1,118.46x = 497,848.45
  5. Step 5: Solve for x
    x = 497,848.45/1,118.46
  6. Step 6: Final answer
    x = 445.12

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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.