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Finding the Fourth Proportional to 1,299.10, 1,948.70 and 374.75

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Solution

The fourth proportional to 1,299.10, 1,948.70 and 374.75 is: 562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.10 : 1,948.70 = 374.75 : x
  2. Step 2: Convert to fraction form
    1,299.10/1,948.70 = 374.75/x
  3. Step 3: Cross multiply
    1,299.10x = 1,948.70 × 374.75
  4. Step 4: Simplify right side
    1,299.10x = 730,275.33
  5. Step 5: Solve for x
    x = 730,275.33/1,299.10
  6. Step 6: Final answer
    x = 562.14

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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.