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Finding the Fourth Proportional to 541.24, 807.23 and 492.28

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Solution

The fourth proportional to 541.24, 807.23 and 492.28 is: 734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.24 : 807.23 = 492.28 : x
  2. Step 2: Convert to fraction form
    541.24/807.23 = 492.28/x
  3. Step 3: Cross multiply
    541.24x = 807.23 × 492.28
  4. Step 4: Simplify right side
    541.24x = 397,383.18
  5. Step 5: Solve for x
    x = 397,383.18/541.24
  6. Step 6: Final answer
    x = 734.21

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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.