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Finding the Fourth Proportional to 1,035.78, 1,553.67 and 695.94

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Solution

The fourth proportional to 1,035.78, 1,553.67 and 695.94 is: 1,043.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.78 : 1,553.67 = 695.94 : x
  2. Step 2: Convert to fraction form
    1,035.78/1,553.67 = 695.94/x
  3. Step 3: Cross multiply
    1,035.78x = 1,553.67 × 695.94
  4. Step 4: Simplify right side
    1,035.78x = 1,081,261.10
  5. Step 5: Solve for x
    x = 1,081,261.10/1,035.78
  6. Step 6: Final answer
    x = 1,043.91

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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.