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Finding the Fourth Proportional to 541.58, 808.07 and 529.13

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Solution

The fourth proportional to 541.58, 808.07 and 529.13 is: 789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.58 : 808.07 = 529.13 : x
  2. Step 2: Convert to fraction form
    541.58/808.07 = 529.13/x
  3. Step 3: Cross multiply
    541.58x = 808.07 × 529.13
  4. Step 4: Simplify right side
    541.58x = 427,573.45
  5. Step 5: Solve for x
    x = 427,573.45/541.58
  6. Step 6: Final answer
    x = 789.50

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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.