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Finding the Fourth Proportional to 541.19, 811.78 and 432.47

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Solution

The fourth proportional to 541.19, 811.78 and 432.47 is: 648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.19 : 811.78 = 432.47 : x
  2. Step 2: Convert to fraction form
    541.19/811.78 = 432.47/x
  3. Step 3: Cross multiply
    541.19x = 811.78 × 432.47
  4. Step 4: Simplify right side
    541.19x = 351,066.44
  5. Step 5: Solve for x
    x = 351,066.44/541.19
  6. Step 6: Final answer
    x = 648.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.