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Finding the Fourth Proportional to 972.50, 1,458.75 and 323.09

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Solution

The fourth proportional to 972.50, 1,458.75 and 323.09 is: 484.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.50 : 1,458.75 = 323.09 : x
  2. Step 2: Convert to fraction form
    972.50/1,458.75 = 323.09/x
  3. Step 3: Cross multiply
    972.50x = 1,458.75 × 323.09
  4. Step 4: Simplify right side
    972.50x = 471,300.24
  5. Step 5: Solve for x
    x = 471,300.24/972.50
  6. Step 6: Final answer
    x = 484.63

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Half scale
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Double scale
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Similar ratio
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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.