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Finding the Fourth Proportional to 608.31, 912.66 and 316.02

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Solution

The fourth proportional to 608.31, 912.66 and 316.02 is: 474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.31 : 912.66 = 316.02 : x
  2. Step 2: Convert to fraction form
    608.31/912.66 = 316.02/x
  3. Step 3: Cross multiply
    608.31x = 912.66 × 316.02
  4. Step 4: Simplify right side
    608.31x = 288,421.05
  5. Step 5: Solve for x
    x = 288,421.05/608.31
  6. Step 6: Final answer
    x = 474.13

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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.