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Finding the Fourth Proportional to 1,034.04, 1,551.28 and 340.68

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Solution

The fourth proportional to 1,034.04, 1,551.28 and 340.68 is: 511.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.04 : 1,551.28 = 340.68 : x
  2. Step 2: Convert to fraction form
    1,034.04/1,551.28 = 340.68/x
  3. Step 3: Cross multiply
    1,034.04x = 1,551.28 × 340.68
  4. Step 4: Simplify right side
    1,034.04x = 528,484.68
  5. Step 5: Solve for x
    x = 528,484.68/1,034.04
  6. Step 6: Final answer
    x = 511.09

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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.