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Finding the Fourth Proportional to 1,275.47, 1,916.61 and 690.90

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Solution

The fourth proportional to 1,275.47, 1,916.61 and 690.90 is: 1,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.47 : 1,916.61 = 690.90 : x
  2. Step 2: Convert to fraction form
    1,275.47/1,916.61 = 690.90/x
  3. Step 3: Cross multiply
    1,275.47x = 1,916.61 × 690.90
  4. Step 4: Simplify right side
    1,275.47x = 1,324,185.85
  5. Step 5: Solve for x
    x = 1,324,185.85/1,275.47
  6. Step 6: Final answer
    x = 1,038.20

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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.