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Finding the Fourth Proportional to 923.81, 1,377.54 and 915.57

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Solution

The fourth proportional to 923.81, 1,377.54 and 915.57 is: 1,365.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.81 : 1,377.54 = 915.57 : x
  2. Step 2: Convert to fraction form
    923.81/1,377.54 = 915.57/x
  3. Step 3: Cross multiply
    923.81x = 1,377.54 × 915.57
  4. Step 4: Simplify right side
    923.81x = 1,261,234.30
  5. Step 5: Solve for x
    x = 1,261,234.30/923.81
  6. Step 6: Final answer
    x = 1,365.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.