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Finding the Fourth Proportional to 1,034.47, 1,551.06 and 418.45

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Solution

The fourth proportional to 1,034.47, 1,551.06 and 418.45 is: 627.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.47 : 1,551.06 = 418.45 : x
  2. Step 2: Convert to fraction form
    1,034.47/1,551.06 = 418.45/x
  3. Step 3: Cross multiply
    1,034.47x = 1,551.06 × 418.45
  4. Step 4: Simplify right side
    1,034.47x = 649,041.06
  5. Step 5: Solve for x
    x = 649,041.06/1,034.47
  6. Step 6: Final answer
    x = 627.41

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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.