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Finding the Fourth Proportional to 1,680.69, 2,508.74 and 1,557

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Solution

The fourth proportional to 1,680.69, 2,508.74 and 1,557 is: 2,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.69 : 2,508.74 = 1,557 : x
  2. Step 2: Convert to fraction form
    1,680.69/2,508.74 = 1,557/x
  3. Step 3: Cross multiply
    1,680.69x = 2,508.74 × 1,557
  4. Step 4: Simplify right side
    1,680.69x = 3,906,100.40
  5. Step 5: Solve for x
    x = 3,906,100.40/1,680.69
  6. Step 6: Final answer
    x = 2,324.11

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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.