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Finding the Fourth Proportional to 916.79, 1,368.83 and 824.65

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Solution

The fourth proportional to 916.79, 1,368.83 and 824.65 is: 1,231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.79 : 1,368.83 = 824.65 : x
  2. Step 2: Convert to fraction form
    916.79/1,368.83 = 824.65/x
  3. Step 3: Cross multiply
    916.79x = 1,368.83 × 824.65
  4. Step 4: Simplify right side
    916.79x = 1,128,804.30
  5. Step 5: Solve for x
    x = 1,128,804.30/916.79
  6. Step 6: Final answer
    x = 1,231.26

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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.