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Finding the Fourth Proportional to 618.47, 923.20 and 540.63

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Solution

The fourth proportional to 618.47, 923.20 and 540.63 is: 807.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.47 : 923.20 = 540.63 : x
  2. Step 2: Convert to fraction form
    618.47/923.20 = 540.63/x
  3. Step 3: Cross multiply
    618.47x = 923.20 × 540.63
  4. Step 4: Simplify right side
    618.47x = 499,108.26
  5. Step 5: Solve for x
    x = 499,108.26/618.47
  6. Step 6: Final answer
    x = 807.00

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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.