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Finding the Fourth Proportional to 972.99, 1,458.12 and 864.56

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Solution

The fourth proportional to 972.99, 1,458.12 and 864.56 is: 1,295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.99 : 1,458.12 = 864.56 : x
  2. Step 2: Convert to fraction form
    972.99/1,458.12 = 864.56/x
  3. Step 3: Cross multiply
    972.99x = 1,458.12 × 864.56
  4. Step 4: Simplify right side
    972.99x = 1,260,624.94
  5. Step 5: Solve for x
    x = 1,260,624.94/972.99
  6. Step 6: Final answer
    x = 1,295.62

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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.