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Finding the Fourth Proportional to 1,118.67, 1,677.86 and 297.01

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Solution

The fourth proportional to 1,118.67, 1,677.86 and 297.01 is: 445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.67 : 1,677.86 = 297.01 : x
  2. Step 2: Convert to fraction form
    1,118.67/1,677.86 = 297.01/x
  3. Step 3: Cross multiply
    1,118.67x = 1,677.86 × 297.01
  4. Step 4: Simplify right side
    1,118.67x = 498,341.20
  5. Step 5: Solve for x
    x = 498,341.20/1,118.67
  6. Step 6: Final answer
    x = 445.48

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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.