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Finding the Fourth Proportional to 1,035.51, 1,429.05 and 642.52

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Solution

The fourth proportional to 1,035.51, 1,429.05 and 642.52 is: 886.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.51 : 1,429.05 = 642.52 : x
  2. Step 2: Convert to fraction form
    1,035.51/1,429.05 = 642.52/x
  3. Step 3: Cross multiply
    1,035.51x = 1,429.05 × 642.52
  4. Step 4: Simplify right side
    1,035.51x = 918,193.21
  5. Step 5: Solve for x
    x = 918,193.21/1,035.51
  6. Step 6: Final answer
    x = 886.71

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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.