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Finding the Fourth Proportional to 480.17, 715.43 and 448.74

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Solution

The fourth proportional to 480.17, 715.43 and 448.74 is: 668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.17 : 715.43 = 448.74 : x
  2. Step 2: Convert to fraction form
    480.17/715.43 = 448.74/x
  3. Step 3: Cross multiply
    480.17x = 715.43 × 448.74
  4. Step 4: Simplify right side
    480.17x = 321,043.18
  5. Step 5: Solve for x
    x = 321,043.18/480.17
  6. Step 6: Final answer
    x = 668.60

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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.