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Finding the Fourth Proportional to 608.99, 915.57 and 427.14

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Solution

The fourth proportional to 608.99, 915.57 and 427.14 is: 642.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.99 : 915.57 = 427.14 : x
  2. Step 2: Convert to fraction form
    608.99/915.57 = 427.14/x
  3. Step 3: Cross multiply
    608.99x = 915.57 × 427.14
  4. Step 4: Simplify right side
    608.99x = 391,076.57
  5. Step 5: Solve for x
    x = 391,076.57/608.99
  6. Step 6: Final answer
    x = 642.18

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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.