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Finding the Fourth Proportional to 483.24, 719.70 and 458.40

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Solution

The fourth proportional to 483.24, 719.70 and 458.40 is: 682.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.24 : 719.70 = 458.40 : x
  2. Step 2: Convert to fraction form
    483.24/719.70 = 458.40/x
  3. Step 3: Cross multiply
    483.24x = 719.70 × 458.40
  4. Step 4: Simplify right side
    483.24x = 329,910.48
  5. Step 5: Solve for x
    x = 329,910.48/483.24
  6. Step 6: Final answer
    x = 682.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.