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Finding the Fourth Proportional to 918.02, 1,377.72 and 675.20

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Solution

The fourth proportional to 918.02, 1,377.72 and 675.20 is: 1,013.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.02 : 1,377.72 = 675.20 : x
  2. Step 2: Convert to fraction form
    918.02/1,377.72 = 675.20/x
  3. Step 3: Cross multiply
    918.02x = 1,377.72 × 675.20
  4. Step 4: Simplify right side
    918.02x = 930,236.54
  5. Step 5: Solve for x
    x = 930,236.54/918.02
  6. Step 6: Final answer
    x = 1,013.31

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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.