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Finding the Fourth Proportional to 1,088.11, 1,500.94 and 695.33

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Solution

The fourth proportional to 1,088.11, 1,500.94 and 695.33 is: 959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.11 : 1,500.94 = 695.33 : x
  2. Step 2: Convert to fraction form
    1,088.11/1,500.94 = 695.33/x
  3. Step 3: Cross multiply
    1,088.11x = 1,500.94 × 695.33
  4. Step 4: Simplify right side
    1,088.11x = 1,043,648.61
  5. Step 5: Solve for x
    x = 1,043,648.61/1,088.11
  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.