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Finding the Fourth Proportional to 483.28, 723.24 and 395.60

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Solution

The fourth proportional to 483.28, 723.24 and 395.60 is: 592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.28 : 723.24 = 395.60 : x
  2. Step 2: Convert to fraction form
    483.28/723.24 = 395.60/x
  3. Step 3: Cross multiply
    483.28x = 723.24 × 395.60
  4. Step 4: Simplify right side
    483.28x = 286,113.74
  5. Step 5: Solve for x
    x = 286,113.74/483.28
  6. Step 6: Final answer
    x = 592.02

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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.