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Finding the Fourth Proportional to 782.27, 1,167.40 and 716.05

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Solution

The fourth proportional to 782.27, 1,167.40 and 716.05 is: 1,068.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.27 : 1,167.40 = 716.05 : x
  2. Step 2: Convert to fraction form
    782.27/1,167.40 = 716.05/x
  3. Step 3: Cross multiply
    782.27x = 1,167.40 × 716.05
  4. Step 4: Simplify right side
    782.27x = 835,916.77
  5. Step 5: Solve for x
    x = 835,916.77/782.27
  6. Step 6: Final answer
    x = 1,068.58

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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.