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Finding the Fourth Proportional to 1,332.75, 1,999.13 and 420.75

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Solution

The fourth proportional to 1,332.75, 1,999.13 and 420.75 is: 631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.75 : 1,999.13 = 420.75 : x
  2. Step 2: Convert to fraction form
    1,332.75/1,999.13 = 420.75/x
  3. Step 3: Cross multiply
    1,332.75x = 1,999.13 × 420.75
  4. Step 4: Simplify right side
    1,332.75x = 841,131.84
  5. Step 5: Solve for x
    x = 841,131.84/1,332.75
  6. Step 6: Final answer
    x = 631.13

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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.