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Finding the Fourth Proportional to 1,683.70, 2,520.15 and 901.75

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Solution

The fourth proportional to 1,683.70, 2,520.15 and 901.75 is: 1,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.70 : 2,520.15 = 901.75 : x
  2. Step 2: Convert to fraction form
    1,683.70/2,520.15 = 901.75/x
  3. Step 3: Cross multiply
    1,683.70x = 2,520.15 × 901.75
  4. Step 4: Simplify right side
    1,683.70x = 2,272,545.26
  5. Step 5: Solve for x
    x = 2,272,545.26/1,683.70
  6. Step 6: Final answer
    x = 1,349.73

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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.