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Finding the Fourth Proportional to 652.77, 978.48 and 489.96

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Solution

The fourth proportional to 652.77, 978.48 and 489.96 is: 734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.77 : 978.48 = 489.96 : x
  2. Step 2: Convert to fraction form
    652.77/978.48 = 489.96/x
  3. Step 3: Cross multiply
    652.77x = 978.48 × 489.96
  4. Step 4: Simplify right side
    652.77x = 479,416.06
  5. Step 5: Solve for x
    x = 479,416.06/652.77
  6. Step 6: Final answer
    x = 734.43

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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.