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Finding the Fourth Proportional to 1,035.92, 1,429.54 and 570.17

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Solution

The fourth proportional to 1,035.92, 1,429.54 and 570.17 is: 786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.92 : 1,429.54 = 570.17 : x
  2. Step 2: Convert to fraction form
    1,035.92/1,429.54 = 570.17/x
  3. Step 3: Cross multiply
    1,035.92x = 1,429.54 × 570.17
  4. Step 4: Simplify right side
    1,035.92x = 815,082.97
  5. Step 5: Solve for x
    x = 815,082.97/1,035.92
  6. Step 6: Final answer
    x = 786.82

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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.