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Finding the Fourth Proportional to 541.80, 808.53 and 419.40

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Solution

The fourth proportional to 541.80, 808.53 and 419.40 is: 625.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.80 : 808.53 = 419.40 : x
  2. Step 2: Convert to fraction form
    541.80/808.53 = 419.40/x
  3. Step 3: Cross multiply
    541.80x = 808.53 × 419.40
  4. Step 4: Simplify right side
    541.80x = 339,097.48
  5. Step 5: Solve for x
    x = 339,097.48/541.80
  6. Step 6: Final answer
    x = 625.87

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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.