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Finding the Fourth Proportional to 407.83, 613.10 and 316.57

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Solution

The fourth proportional to 407.83, 613.10 and 316.57 is: 475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.83 : 613.10 = 316.57 : x
  2. Step 2: Convert to fraction form
    407.83/613.10 = 316.57/x
  3. Step 3: Cross multiply
    407.83x = 613.10 × 316.57
  4. Step 4: Simplify right side
    407.83x = 194,087.48
  5. Step 5: Solve for x
    x = 194,087.48/407.83
  6. Step 6: Final answer
    x = 475.90

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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.