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Finding the Fourth Proportional to 1,552.47, 2,325.93 and 820.41

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Solution

The fourth proportional to 1,552.47, 2,325.93 and 820.41 is: 1,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.47 : 2,325.93 = 820.41 : x
  2. Step 2: Convert to fraction form
    1,552.47/2,325.93 = 820.41/x
  3. Step 3: Cross multiply
    1,552.47x = 2,325.93 × 820.41
  4. Step 4: Simplify right side
    1,552.47x = 1,908,216.23
  5. Step 5: Solve for x
    x = 1,908,216.23/1,552.47
  6. Step 6: Final answer
    x = 1,229.15

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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.