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Finding the Fourth Proportional to 541.94, 807.15 and 508.23

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Solution

The fourth proportional to 541.94, 807.15 and 508.23 is: 756.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.94 : 807.15 = 508.23 : x
  2. Step 2: Convert to fraction form
    541.94/807.15 = 508.23/x
  3. Step 3: Cross multiply
    541.94x = 807.15 × 508.23
  4. Step 4: Simplify right side
    541.94x = 410,217.84
  5. Step 5: Solve for x
    x = 410,217.84/541.94
  6. Step 6: Final answer
    x = 756.95

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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.