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Finding the Fourth Proportional to 474.10, 653.62 and 316.75

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Solution

The fourth proportional to 474.10, 653.62 and 316.75 is: 436.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.10 : 653.62 = 316.75 : x
  2. Step 2: Convert to fraction form
    474.10/653.62 = 316.75/x
  3. Step 3: Cross multiply
    474.10x = 653.62 × 316.75
  4. Step 4: Simplify right side
    474.10x = 207,034.14
  5. Step 5: Solve for x
    x = 207,034.14/474.10
  6. Step 6: Final answer
    x = 436.69

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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.