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Finding the Fourth Proportional to 974.75, 1,462.37 and 290.75

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Solution

The fourth proportional to 974.75, 1,462.37 and 290.75 is: 436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.75 : 1,462.37 = 290.75 : x
  2. Step 2: Convert to fraction form
    974.75/1,462.37 = 290.75/x
  3. Step 3: Cross multiply
    974.75x = 1,462.37 × 290.75
  4. Step 4: Simplify right side
    974.75x = 425,184.08
  5. Step 5: Solve for x
    x = 425,184.08/974.75
  6. Step 6: Final answer
    x = 436.20

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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.