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Finding the Fourth Proportional to 883.52, 1,215.20 and 708.48

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Solution

The fourth proportional to 883.52, 1,215.20 and 708.48 is: 974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.52 : 1,215.20 = 708.48 : x
  2. Step 2: Convert to fraction form
    883.52/1,215.20 = 708.48/x
  3. Step 3: Cross multiply
    883.52x = 1,215.20 × 708.48
  4. Step 4: Simplify right side
    883.52x = 860,944.90
  5. Step 5: Solve for x
    x = 860,944.90/883.52
  6. Step 6: Final answer
    x = 974.45

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1.5x scale

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.