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Finding the Fourth Proportional to 608.14, 910.59 and 463.42

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Solution

The fourth proportional to 608.14, 910.59 and 463.42 is: 693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.14 : 910.59 = 463.42 : x
  2. Step 2: Convert to fraction form
    608.14/910.59 = 463.42/x
  3. Step 3: Cross multiply
    608.14x = 910.59 × 463.42
  4. Step 4: Simplify right side
    608.14x = 421,985.62
  5. Step 5: Solve for x
    x = 421,985.62/608.14
  6. Step 6: Final answer
    x = 693.90

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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.