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Finding the Fourth Proportional to 723.03, 1,084.37 and 202.90

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Solution

The fourth proportional to 723.03, 1,084.37 and 202.90 is: 304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.03 : 1,084.37 = 202.90 : x
  2. Step 2: Convert to fraction form
    723.03/1,084.37 = 202.90/x
  3. Step 3: Cross multiply
    723.03x = 1,084.37 × 202.90
  4. Step 4: Simplify right side
    723.03x = 220,017.66
  5. Step 5: Solve for x
    x = 220,017.66/723.03
  6. Step 6: Final answer
    x = 304.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.