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Finding the Fourth Proportional to 1,612.90, 2,419.80 and 688.90

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Solution

The fourth proportional to 1,612.90, 2,419.80 and 688.90 is: 1,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.90 : 2,419.80 = 688.90 : x
  2. Step 2: Convert to fraction form
    1,612.90/2,419.80 = 688.90/x
  3. Step 3: Cross multiply
    1,612.90x = 2,419.80 × 688.90
  4. Step 4: Simplify right side
    1,612.90x = 1,667,000.22
  5. Step 5: Solve for x
    x = 1,667,000.22/1,612.90
  6. Step 6: Final answer
    x = 1,033.54

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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.