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Finding the Fourth Proportional to 615.47, 923.63 and 341.78

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Solution

The fourth proportional to 615.47, 923.63 and 341.78 is: 512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.47 : 923.63 = 341.78 : x
  2. Step 2: Convert to fraction form
    615.47/923.63 = 341.78/x
  3. Step 3: Cross multiply
    615.47x = 923.63 × 341.78
  4. Step 4: Simplify right side
    615.47x = 315,671.93
  5. Step 5: Solve for x
    x = 315,671.93/615.47
  6. Step 6: Final answer
    x = 512.90

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1.5x scale

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.