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Finding the Fourth Proportional to 615.54, 918.81 and 542.64

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Solution

The fourth proportional to 615.54, 918.81 and 542.64 is: 809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.54 : 918.81 = 542.64 : x
  2. Step 2: Convert to fraction form
    615.54/918.81 = 542.64/x
  3. Step 3: Cross multiply
    615.54x = 918.81 × 542.64
  4. Step 4: Simplify right side
    615.54x = 498,583.06
  5. Step 5: Solve for x
    x = 498,583.06/615.54
  6. Step 6: Final answer
    x = 809.99

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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.