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Finding the Fourth Proportional to 1,316.12, 1,974.75 and 623.27

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Solution

The fourth proportional to 1,316.12, 1,974.75 and 623.27 is: 935.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.12 : 1,974.75 = 623.27 : x
  2. Step 2: Convert to fraction form
    1,316.12/1,974.75 = 623.27/x
  3. Step 3: Cross multiply
    1,316.12x = 1,974.75 × 623.27
  4. Step 4: Simplify right side
    1,316.12x = 1,230,805.03
  5. Step 5: Solve for x
    x = 1,230,805.03/1,316.12
  6. Step 6: Final answer
    x = 935.18

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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.