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Finding the Fourth Proportional to 501.62, 752.70 and 189.48

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Solution

The fourth proportional to 501.62, 752.70 and 189.48 is: 284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.62 : 752.70 = 189.48 : x
  2. Step 2: Convert to fraction form
    501.62/752.70 = 189.48/x
  3. Step 3: Cross multiply
    501.62x = 752.70 × 189.48
  4. Step 4: Simplify right side
    501.62x = 142,623.82
  5. Step 5: Solve for x
    x = 142,623.82/501.62
  6. Step 6: Final answer
    x = 284.33

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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.