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Finding the Fourth Proportional to 820.90, 1,132.45 and 555.44

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Solution

The fourth proportional to 820.90, 1,132.45 and 555.44 is: 766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.90 : 1,132.45 = 555.44 : x
  2. Step 2: Convert to fraction form
    820.90/1,132.45 = 555.44/x
  3. Step 3: Cross multiply
    820.90x = 1,132.45 × 555.44
  4. Step 4: Simplify right side
    820.90x = 629,000.98
  5. Step 5: Solve for x
    x = 629,000.98/820.90
  6. Step 6: Final answer
    x = 766.23

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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.