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Finding the Fourth Proportional to 1,034.15, 1,551.68 and 419.06

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Solution

The fourth proportional to 1,034.15, 1,551.68 and 419.06 is: 628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.15 : 1,551.68 = 419.06 : x
  2. Step 2: Convert to fraction form
    1,034.15/1,551.68 = 419.06/x
  3. Step 3: Cross multiply
    1,034.15x = 1,551.68 × 419.06
  4. Step 4: Simplify right side
    1,034.15x = 650,239.26
  5. Step 5: Solve for x
    x = 650,239.26/1,034.15
  6. Step 6: Final answer
    x = 628.77

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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.