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Finding the Fourth Proportional to 1,276.92, 1,916.31 and 692.13

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Solution

The fourth proportional to 1,276.92, 1,916.31 and 692.13 is: 1,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.92 : 1,916.31 = 692.13 : x
  2. Step 2: Convert to fraction form
    1,276.92/1,916.31 = 692.13/x
  3. Step 3: Cross multiply
    1,276.92x = 1,916.31 × 692.13
  4. Step 4: Simplify right side
    1,276.92x = 1,326,335.64
  5. Step 5: Solve for x
    x = 1,326,335.64/1,276.92
  6. Step 6: Final answer
    x = 1,038.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.