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Finding the Fourth Proportional to 820.03, 1,132.45 and 701.32

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Solution

The fourth proportional to 820.03, 1,132.45 and 701.32 is: 968.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.03 : 1,132.45 = 701.32 : x
  2. Step 2: Convert to fraction form
    820.03/1,132.45 = 701.32/x
  3. Step 3: Cross multiply
    820.03x = 1,132.45 × 701.32
  4. Step 4: Simplify right side
    820.03x = 794,209.83
  5. Step 5: Solve for x
    x = 794,209.83/820.03
  6. Step 6: Final answer
    x = 968.51

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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.