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Finding the Fourth Proportional to 1,161.76, 1,602.47 and 689.30

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Solution

The fourth proportional to 1,161.76, 1,602.47 and 689.30 is: 950.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.76 : 1,602.47 = 689.30 : x
  2. Step 2: Convert to fraction form
    1,161.76/1,602.47 = 689.30/x
  3. Step 3: Cross multiply
    1,161.76x = 1,602.47 × 689.30
  4. Step 4: Simplify right side
    1,161.76x = 1,104,583.13
  5. Step 5: Solve for x
    x = 1,104,583.13/1,161.76
  6. Step 6: Final answer
    x = 950.79

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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.