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Finding the Fourth Proportional to 918.01, 1,264.32 and 853.42

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Solution

The fourth proportional to 918.01, 1,264.32 and 853.42 is: 1,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.01 : 1,264.32 = 853.42 : x
  2. Step 2: Convert to fraction form
    918.01/1,264.32 = 853.42/x
  3. Step 3: Cross multiply
    918.01x = 1,264.32 × 853.42
  4. Step 4: Simplify right side
    918.01x = 1,079,001.72
  5. Step 5: Solve for x
    x = 1,079,001.72/918.01
  6. Step 6: Final answer
    x = 1,175.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.