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Finding the Fourth Proportional to 615.49, 923.99 and 407.43

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Solution

The fourth proportional to 615.49, 923.99 and 407.43 is: 611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.49 : 923.99 = 407.43 : x
  2. Step 2: Convert to fraction form
    615.49/923.99 = 407.43/x
  3. Step 3: Cross multiply
    615.49x = 923.99 × 407.43
  4. Step 4: Simplify right side
    615.49x = 376,459.21
  5. Step 5: Solve for x
    x = 376,459.21/615.49
  6. Step 6: Final answer
    x = 611.64

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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.