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Finding the Fourth Proportional to 989.78, 1,355.98 and 952.86

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Solution

The fourth proportional to 989.78, 1,355.98 and 952.86 is: 1,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.78 : 1,355.98 = 952.86 : x
  2. Step 2: Convert to fraction form
    989.78/1,355.98 = 952.86/x
  3. Step 3: Cross multiply
    989.78x = 1,355.98 × 952.86
  4. Step 4: Simplify right side
    989.78x = 1,292,059.10
  5. Step 5: Solve for x
    x = 1,292,059.10/989.78
  6. Step 6: Final answer
    x = 1,305.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.