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Finding the Fourth Proportional to 615.54, 923.47 and 547.58

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Solution

The fourth proportional to 615.54, 923.47 and 547.58 is: 821.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.54 : 923.47 = 547.58 : x
  2. Step 2: Convert to fraction form
    615.54/923.47 = 547.58/x
  3. Step 3: Cross multiply
    615.54x = 923.47 × 547.58
  4. Step 4: Simplify right side
    615.54x = 505,674.64
  5. Step 5: Solve for x
    x = 505,674.64/615.54
  6. Step 6: Final answer
    x = 821.51

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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.