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Finding the Fourth Proportional to 615.64, 849.16 and 366.77

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Solution

The fourth proportional to 615.64, 849.16 and 366.77 is: 505.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.64 : 849.16 = 366.77 : x
  2. Step 2: Convert to fraction form
    615.64/849.16 = 366.77/x
  3. Step 3: Cross multiply
    615.64x = 849.16 × 366.77
  4. Step 4: Simplify right side
    615.64x = 311,441.25
  5. Step 5: Solve for x
    x = 311,441.25/615.64
  6. Step 6: Final answer
    x = 505.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.