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Finding the Fourth Proportional to 972.79, 1,459.41 and 323.48

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Solution

The fourth proportional to 972.79, 1,459.41 and 323.48 is: 485.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.79 : 1,459.41 = 323.48 : x
  2. Step 2: Convert to fraction form
    972.79/1,459.41 = 323.48/x
  3. Step 3: Cross multiply
    972.79x = 1,459.41 × 323.48
  4. Step 4: Simplify right side
    972.79x = 472,089.95
  5. Step 5: Solve for x
    x = 472,089.95/972.79
  6. Step 6: Final answer
    x = 485.29

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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.