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Finding the Fourth Proportional to 416.64, 577.74 and 402.80

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Solution

The fourth proportional to 416.64, 577.74 and 402.80 is: 558.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.64 : 577.74 = 402.80 : x
  2. Step 2: Convert to fraction form
    416.64/577.74 = 402.80/x
  3. Step 3: Cross multiply
    416.64x = 577.74 × 402.80
  4. Step 4: Simplify right side
    416.64x = 232,715.12
  5. Step 5: Solve for x
    x = 232,715.12/416.64
  6. Step 6: Final answer
    x = 558.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.