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Finding the Fourth Proportional to 1,118.41, 1,677.48 and 707.20

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Solution

The fourth proportional to 1,118.41, 1,677.48 and 707.20 is: 1,060.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.41 : 1,677.48 = 707.20 : x
  2. Step 2: Convert to fraction form
    1,118.41/1,677.48 = 707.20/x
  3. Step 3: Cross multiply
    1,118.41x = 1,677.48 × 707.20
  4. Step 4: Simplify right side
    1,118.41x = 1,186,313.86
  5. Step 5: Solve for x
    x = 1,186,313.86/1,118.41
  6. Step 6: Final answer
    x = 1,060.71

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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.