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Finding the Fourth Proportional to 1,035.78, 1,429.94 and 663.08

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Solution

The fourth proportional to 1,035.78, 1,429.94 and 663.08 is: 915.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.78 : 1,429.94 = 663.08 : x
  2. Step 2: Convert to fraction form
    1,035.78/1,429.94 = 663.08/x
  3. Step 3: Cross multiply
    1,035.78x = 1,429.94 × 663.08
  4. Step 4: Simplify right side
    1,035.78x = 948,161.30
  5. Step 5: Solve for x
    x = 948,161.30/1,035.78
  6. Step 6: Final answer
    x = 915.41

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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.