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Finding the Fourth Proportional to 972.82, 1,459.21 and 395.70

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Solution

The fourth proportional to 972.82, 1,459.21 and 395.70 is: 593.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.82 : 1,459.21 = 395.70 : x
  2. Step 2: Convert to fraction form
    972.82/1,459.21 = 395.70/x
  3. Step 3: Cross multiply
    972.82x = 1,459.21 × 395.70
  4. Step 4: Simplify right side
    972.82x = 577,409.40
  5. Step 5: Solve for x
    x = 577,409.40/972.82
  6. Step 6: Final answer
    x = 593.54

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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.