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Finding the Fourth Proportional to 631.47, 945.95 and 501.69

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Solution

The fourth proportional to 631.47, 945.95 and 501.69 is: 751.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.47 : 945.95 = 501.69 : x
  2. Step 2: Convert to fraction form
    631.47/945.95 = 501.69/x
  3. Step 3: Cross multiply
    631.47x = 945.95 × 501.69
  4. Step 4: Simplify right side
    631.47x = 474,571.15
  5. Step 5: Solve for x
    x = 474,571.15/631.47
  6. Step 6: Final answer
    x = 751.53

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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.