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Finding the Fourth Proportional to 915.19, 1,379.97 and 838.65

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Solution

The fourth proportional to 915.19, 1,379.97 and 838.65 is: 1,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.19 : 1,379.97 = 838.65 : x
  2. Step 2: Convert to fraction form
    915.19/1,379.97 = 838.65/x
  3. Step 3: Cross multiply
    915.19x = 1,379.97 × 838.65
  4. Step 4: Simplify right side
    915.19x = 1,157,303.52
  5. Step 5: Solve for x
    x = 1,157,303.52/915.19
  6. Step 6: Final answer
    x = 1,264.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.