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Finding the Fourth Proportional to 972.33, 1,459.23 and 356.61

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Solution

The fourth proportional to 972.33, 1,459.23 and 356.61 is: 535.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.33 : 1,459.23 = 356.61 : x
  2. Step 2: Convert to fraction form
    972.33/1,459.23 = 356.61/x
  3. Step 3: Cross multiply
    972.33x = 1,459.23 × 356.61
  4. Step 4: Simplify right side
    972.33x = 520,376.01
  5. Step 5: Solve for x
    x = 520,376.01/972.33
  6. Step 6: Final answer
    x = 535.18

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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.