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Finding the Fourth Proportional to 1,600.15, 2,402.47 and 820.70

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Solution

The fourth proportional to 1,600.15, 2,402.47 and 820.70 is: 1,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.15 : 2,402.47 = 820.70 : x
  2. Step 2: Convert to fraction form
    1,600.15/2,402.47 = 820.70/x
  3. Step 3: Cross multiply
    1,600.15x = 2,402.47 × 820.70
  4. Step 4: Simplify right side
    1,600.15x = 1,971,711.08
  5. Step 5: Solve for x
    x = 1,971,711.08/1,600.15
  6. Step 6: Final answer
    x = 1,232.20

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