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Finding the Fourth Proportional to 1,161.27, 1,602.05 and 695.25

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Solution

The fourth proportional to 1,161.27, 1,602.05 and 695.25 is: 959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.27 : 1,602.05 = 695.25 : x
  2. Step 2: Convert to fraction form
    1,161.27/1,602.05 = 695.25/x
  3. Step 3: Cross multiply
    1,161.27x = 1,602.05 × 695.25
  4. Step 4: Simplify right side
    1,161.27x = 1,113,821.79
  5. Step 5: Solve for x
    x = 1,113,821.79/1,161.27
  6. Step 6: Final answer
    x = 959.14

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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.