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Finding the Fourth Proportional to 475.50, 654.98 and 364.79

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Solution

The fourth proportional to 475.50, 654.98 and 364.79 is: 502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.50 : 654.98 = 364.79 : x
  2. Step 2: Convert to fraction form
    475.50/654.98 = 364.79/x
  3. Step 3: Cross multiply
    475.50x = 654.98 × 364.79
  4. Step 4: Simplify right side
    475.50x = 238,925.06
  5. Step 5: Solve for x
    x = 238,925.06/475.50
  6. Step 6: Final answer
    x = 502.47

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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.