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Finding the Fourth Proportional to 480.37, 716.51 and 402.43

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Solution

The fourth proportional to 480.37, 716.51 and 402.43 is: 600.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.37 : 716.51 = 402.43 : x
  2. Step 2: Convert to fraction form
    480.37/716.51 = 402.43/x
  3. Step 3: Cross multiply
    480.37x = 716.51 × 402.43
  4. Step 4: Simplify right side
    480.37x = 288,345.12
  5. Step 5: Solve for x
    x = 288,345.12/480.37
  6. Step 6: Final answer
    x = 600.26

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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.