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Finding the Fourth Proportional to 972.90, 1,459.49 and 323.55

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Solution

The fourth proportional to 972.90, 1,459.49 and 323.55 is: 485.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.90 : 1,459.49 = 323.55 : x
  2. Step 2: Convert to fraction form
    972.90/1,459.49 = 323.55/x
  3. Step 3: Cross multiply
    972.90x = 1,459.49 × 323.55
  4. Step 4: Simplify right side
    972.90x = 472,217.99
  5. Step 5: Solve for x
    x = 472,217.99/972.90
  6. Step 6: Final answer
    x = 485.37

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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.