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Finding the Fourth Proportional to 1,077.57, 1,616.36 and 297.58

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Solution

The fourth proportional to 1,077.57, 1,616.36 and 297.58 is: 446.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.57 : 1,616.36 = 297.58 : x
  2. Step 2: Convert to fraction form
    1,077.57/1,616.36 = 297.58/x
  3. Step 3: Cross multiply
    1,077.57x = 1,616.36 × 297.58
  4. Step 4: Simplify right side
    1,077.57x = 480,996.41
  5. Step 5: Solve for x
    x = 480,996.41/1,077.57
  6. Step 6: Final answer
    x = 446.37

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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.