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Finding the Fourth Proportional to 608.08, 838.23 and 476.86

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Solution

The fourth proportional to 608.08, 838.23 and 476.86 is: 657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.08 : 838.23 = 476.86 : x
  2. Step 2: Convert to fraction form
    608.08/838.23 = 476.86/x
  3. Step 3: Cross multiply
    608.08x = 838.23 × 476.86
  4. Step 4: Simplify right side
    608.08x = 399,718.36
  5. Step 5: Solve for x
    x = 399,718.36/608.08
  6. Step 6: Final answer
    x = 657.35

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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.