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Finding the Fourth Proportional to 608.20, 839.65 and 468.70

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Solution

The fourth proportional to 608.20, 839.65 and 468.70 is: 647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.20 : 839.65 = 468.70 : x
  2. Step 2: Convert to fraction form
    608.20/839.65 = 468.70/x
  3. Step 3: Cross multiply
    608.20x = 839.65 × 468.70
  4. Step 4: Simplify right side
    608.20x = 393,543.96
  5. Step 5: Solve for x
    x = 393,543.96/608.20
  6. Step 6: Final answer
    x = 647.06

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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.