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Finding the Fourth Proportional to 615.87, 919.76 and 493.74

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Solution

The fourth proportional to 615.87, 919.76 and 493.74 is: 737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.87 : 919.76 = 493.74 : x
  2. Step 2: Convert to fraction form
    615.87/919.76 = 493.74/x
  3. Step 3: Cross multiply
    615.87x = 919.76 × 493.74
  4. Step 4: Simplify right side
    615.87x = 454,119.83
  5. Step 5: Solve for x
    x = 454,119.83/615.87
  6. Step 6: Final answer
    x = 737.36

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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.