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Finding the Fourth Proportional to 1,035.76, 1,428.76 and 642.52

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Solution

The fourth proportional to 1,035.76, 1,428.76 and 642.52 is: 886.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.76 : 1,428.76 = 642.52 : x
  2. Step 2: Convert to fraction form
    1,035.76/1,428.76 = 642.52/x
  3. Step 3: Cross multiply
    1,035.76x = 1,428.76 × 642.52
  4. Step 4: Simplify right side
    1,035.76x = 918,006.88
  5. Step 5: Solve for x
    x = 918,006.88/1,035.76
  6. Step 6: Final answer
    x = 886.31

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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.