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Finding the Fourth Proportional to 1,161.04, 1,602.06 and 718.72

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Solution

The fourth proportional to 1,161.04, 1,602.06 and 718.72 is: 991.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.04 : 1,602.06 = 718.72 : x
  2. Step 2: Convert to fraction form
    1,161.04/1,602.06 = 718.72/x
  3. Step 3: Cross multiply
    1,161.04x = 1,602.06 × 718.72
  4. Step 4: Simplify right side
    1,161.04x = 1,151,432.56
  5. Step 5: Solve for x
    x = 1,151,432.56/1,161.04
  6. Step 6: Final answer
    x = 991.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.