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Finding the Fourth Proportional to 820.30, 1,223.55 and 746.48

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Solution

The fourth proportional to 820.30, 1,223.55 and 746.48 is: 1,113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.30 : 1,223.55 = 746.48 : x
  2. Step 2: Convert to fraction form
    820.30/1,223.55 = 746.48/x
  3. Step 3: Cross multiply
    820.30x = 1,223.55 × 746.48
  4. Step 4: Simplify right side
    820.30x = 913,355.60
  5. Step 5: Solve for x
    x = 913,355.60/820.30
  6. Step 6: Final answer
    x = 1,113.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.