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Finding the Fourth Proportional to 1,317.07, 1,974.52 and 906.99

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Solution

The fourth proportional to 1,317.07, 1,974.52 and 906.99 is: 1,359.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.07 : 1,974.52 = 906.99 : x
  2. Step 2: Convert to fraction form
    1,317.07/1,974.52 = 906.99/x
  3. Step 3: Cross multiply
    1,317.07x = 1,974.52 × 906.99
  4. Step 4: Simplify right side
    1,317.07x = 1,790,869.89
  5. Step 5: Solve for x
    x = 1,790,869.89/1,317.07
  6. Step 6: Final answer
    x = 1,359.74

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Double scale
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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.