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Finding the Fourth Proportional to 1,118.74, 1,678.22 and 460.47

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Solution

The fourth proportional to 1,118.74, 1,678.22 and 460.47 is: 690.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.74 : 1,678.22 = 460.47 : x
  2. Step 2: Convert to fraction form
    1,118.74/1,678.22 = 460.47/x
  3. Step 3: Cross multiply
    1,118.74x = 1,678.22 × 460.47
  4. Step 4: Simplify right side
    1,118.74x = 772,769.96
  5. Step 5: Solve for x
    x = 772,769.96/1,118.74
  6. Step 6: Final answer
    x = 690.75

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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.