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Finding the Fourth Proportional to 916.19, 1,381.47 and 839.65

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Solution

The fourth proportional to 916.19, 1,381.47 and 839.65 is: 1,266.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.19 : 1,381.47 = 839.65 : x
  2. Step 2: Convert to fraction form
    916.19/1,381.47 = 839.65/x
  3. Step 3: Cross multiply
    916.19x = 1,381.47 × 839.65
  4. Step 4: Simplify right side
    916.19x = 1,159,951.29
  5. Step 5: Solve for x
    x = 1,159,951.29/916.19
  6. Step 6: Final answer
    x = 1,266.06

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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.