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Finding the Fourth Proportional to 541.80, 808.76 and 501.75

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Solution

The fourth proportional to 541.80, 808.76 and 501.75 is: 748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.80 : 808.76 = 501.75 : x
  2. Step 2: Convert to fraction form
    541.80/808.76 = 501.75/x
  3. Step 3: Cross multiply
    541.80x = 808.76 × 501.75
  4. Step 4: Simplify right side
    541.80x = 405,796.58
  5. Step 5: Solve for x
    x = 405,796.58/541.80
  6. Step 6: Final answer
    x = 748.98

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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.