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Finding the Fourth Proportional to 407.58, 612.72 and 316.32

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Solution

The fourth proportional to 407.58, 612.72 and 316.32 is: 475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.58 : 612.72 = 316.32 : x
  2. Step 2: Convert to fraction form
    407.58/612.72 = 316.32/x
  3. Step 3: Cross multiply
    407.58x = 612.72 × 316.32
  4. Step 4: Simplify right side
    407.58x = 193,815.59
  5. Step 5: Solve for x
    x = 193,815.59/407.58
  6. Step 6: Final answer
    x = 475.53

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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.