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Finding the Fourth Proportional to 820.85, 1,132.35 and 555.31

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Solution

The fourth proportional to 820.85, 1,132.35 and 555.31 is: 766.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.85 : 1,132.35 = 555.31 : x
  2. Step 2: Convert to fraction form
    820.85/1,132.35 = 555.31/x
  3. Step 3: Cross multiply
    820.85x = 1,132.35 × 555.31
  4. Step 4: Simplify right side
    820.85x = 628,802.93
  5. Step 5: Solve for x
    x = 628,802.93/820.85
  6. Step 6: Final answer
    x = 766.04

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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.