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Finding the Fourth Proportional to 483.40, 720.97 and 470.71

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Solution

The fourth proportional to 483.40, 720.97 and 470.71 is: 702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.40 : 720.97 = 470.71 : x
  2. Step 2: Convert to fraction form
    483.40/720.97 = 470.71/x
  3. Step 3: Cross multiply
    483.40x = 720.97 × 470.71
  4. Step 4: Simplify right side
    483.40x = 339,364.18
  5. Step 5: Solve for x
    x = 339,364.18/483.40
  6. Step 6: Final answer
    x = 702.04

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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.