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Finding the Fourth Proportional to 652.89, 978.49 and 498.25

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Solution

The fourth proportional to 652.89, 978.49 and 498.25 is: 746.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.89 : 978.49 = 498.25 : x
  2. Step 2: Convert to fraction form
    652.89/978.49 = 498.25/x
  3. Step 3: Cross multiply
    652.89x = 978.49 × 498.25
  4. Step 4: Simplify right side
    652.89x = 487,532.64
  5. Step 5: Solve for x
    x = 487,532.64/652.89
  6. Step 6: Final answer
    x = 746.73

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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.