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Finding the Fourth Proportional to 1,207.87, 1,810.58 and 686.80

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Solution

The fourth proportional to 1,207.87, 1,810.58 and 686.80 is: 1,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.87 : 1,810.58 = 686.80 : x
  2. Step 2: Convert to fraction form
    1,207.87/1,810.58 = 686.80/x
  3. Step 3: Cross multiply
    1,207.87x = 1,810.58 × 686.80
  4. Step 4: Simplify right side
    1,207.87x = 1,243,504.39
  5. Step 5: Solve for x
    x = 1,243,504.39/1,207.87
  6. Step 6: Final answer
    x = 1,029.50

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1.5x scale

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.