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Finding the Fourth Proportional to 489.99, 734.91 and 124.78

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Solution

The fourth proportional to 489.99, 734.91 and 124.78 is: 187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.99 : 734.91 = 124.78 : x
  2. Step 2: Convert to fraction form
    489.99/734.91 = 124.78/x
  3. Step 3: Cross multiply
    489.99x = 734.91 × 124.78
  4. Step 4: Simplify right side
    489.99x = 91,699.76
  5. Step 5: Solve for x
    x = 91,699.76/489.99
  6. Step 6: Final answer
    x = 187.15

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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.