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Finding the Fourth Proportional to 489.07, 734.62 and 415.93

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Solution

The fourth proportional to 489.07, 734.62 and 415.93 is: 624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.07 : 734.62 = 415.93 : x
  2. Step 2: Convert to fraction form
    489.07/734.62 = 415.93/x
  3. Step 3: Cross multiply
    489.07x = 734.62 × 415.93
  4. Step 4: Simplify right side
    489.07x = 305,549.78
  5. Step 5: Solve for x
    x = 305,549.78/489.07
  6. Step 6: Final answer
    x = 624.76

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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.