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Finding the Fourth Proportional to 972.57, 1,459.46 and 395.45

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Solution

The fourth proportional to 972.57, 1,459.46 and 395.45 is: 593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.57 : 1,459.46 = 395.45 : x
  2. Step 2: Convert to fraction form
    972.57/1,459.46 = 395.45/x
  3. Step 3: Cross multiply
    972.57x = 1,459.46 × 395.45
  4. Step 4: Simplify right side
    972.57x = 577,137.15
  5. Step 5: Solve for x
    x = 577,137.15/972.57
  6. Step 6: Final answer
    x = 593.41

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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.