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Finding the Fourth Proportional to 916.72, 1,368.70 and 861.13

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Solution

The fourth proportional to 916.72, 1,368.70 and 861.13 is: 1,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.72 : 1,368.70 = 861.13 : x
  2. Step 2: Convert to fraction form
    916.72/1,368.70 = 861.13/x
  3. Step 3: Cross multiply
    916.72x = 1,368.70 × 861.13
  4. Step 4: Simplify right side
    916.72x = 1,178,628.19
  5. Step 5: Solve for x
    x = 1,178,628.19/916.72
  6. Step 6: Final answer
    x = 1,285.70

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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.