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Finding the Fourth Proportional to 1,035.54, 1,428.75 and 642.57

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Solution

The fourth proportional to 1,035.54, 1,428.75 and 642.57 is: 886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.54 : 1,428.75 = 642.57 : x
  2. Step 2: Convert to fraction form
    1,035.54/1,428.75 = 642.57/x
  3. Step 3: Cross multiply
    1,035.54x = 1,428.75 × 642.57
  4. Step 4: Simplify right side
    1,035.54x = 918,071.89
  5. Step 5: Solve for x
    x = 918,071.89/1,035.54
  6. Step 6: Final answer
    x = 886.56

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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.