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Finding the Fourth Proportional to 480.22, 716.50 and 434.24

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Solution

The fourth proportional to 480.22, 716.50 and 434.24 is: 647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.22 : 716.50 = 434.24 : x
  2. Step 2: Convert to fraction form
    480.22/716.50 = 434.24/x
  3. Step 3: Cross multiply
    480.22x = 716.50 × 434.24
  4. Step 4: Simplify right side
    480.22x = 311,132.96
  5. Step 5: Solve for x
    x = 311,132.96/480.22
  6. Step 6: Final answer
    x = 647.90

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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.