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Finding the Fourth Proportional to 942.50, 1,411.92 and 695.25

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Solution

The fourth proportional to 942.50, 1,411.92 and 695.25 is: 1,041.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.50 : 1,411.92 = 695.25 : x
  2. Step 2: Convert to fraction form
    942.50/1,411.92 = 695.25/x
  3. Step 3: Cross multiply
    942.50x = 1,411.92 × 695.25
  4. Step 4: Simplify right side
    942.50x = 981,637.38
  5. Step 5: Solve for x
    x = 981,637.38/942.50
  6. Step 6: Final answer
    x = 1,041.53

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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.