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Finding the Fourth Proportional to 1,680.92, 2,320.50 and 1,307.06

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Solution

The fourth proportional to 1,680.92, 2,320.50 and 1,307.06 is: 1,804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.92 : 2,320.50 = 1,307.06 : x
  2. Step 2: Convert to fraction form
    1,680.92/2,320.50 = 1,307.06/x
  3. Step 3: Cross multiply
    1,680.92x = 2,320.50 × 1,307.06
  4. Step 4: Simplify right side
    1,680.92x = 3,033,032.73
  5. Step 5: Solve for x
    x = 3,033,032.73/1,680.92
  6. Step 6: Final answer
    x = 1,804.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.