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Finding the Fourth Proportional to 883.75, 1,325.76 and 642.10

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Solution

The fourth proportional to 883.75, 1,325.76 and 642.10 is: 963.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.75 : 1,325.76 = 642.10 : x
  2. Step 2: Convert to fraction form
    883.75/1,325.76 = 642.10/x
  3. Step 3: Cross multiply
    883.75x = 1,325.76 × 642.10
  4. Step 4: Simplify right side
    883.75x = 851,270.50
  5. Step 5: Solve for x
    x = 851,270.50/883.75
  6. Step 6: Final answer
    x = 963.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.