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Finding the Fourth Proportional to 718.68, 1,077.48 and 441.12

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Solution

The fourth proportional to 718.68, 1,077.48 and 441.12 is: 661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.68 : 1,077.48 = 441.12 : x
  2. Step 2: Convert to fraction form
    718.68/1,077.48 = 441.12/x
  3. Step 3: Cross multiply
    718.68x = 1,077.48 × 441.12
  4. Step 4: Simplify right side
    718.68x = 475,297.98
  5. Step 5: Solve for x
    x = 475,297.98/718.68
  6. Step 6: Final answer
    x = 661.35

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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.