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Finding the Fourth Proportional to 1,035.90, 1,429.74 and 642.96

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Solution

The fourth proportional to 1,035.90, 1,429.74 and 642.96 is: 887.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.90 : 1,429.74 = 642.96 : x
  2. Step 2: Convert to fraction form
    1,035.90/1,429.74 = 642.96/x
  3. Step 3: Cross multiply
    1,035.90x = 1,429.74 × 642.96
  4. Step 4: Simplify right side
    1,035.90x = 919,265.63
  5. Step 5: Solve for x
    x = 919,265.63/1,035.90
  6. Step 6: Final answer
    x = 887.41

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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.