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Finding the Fourth Proportional to 675.14, 931.50 and 423.28

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Solution

The fourth proportional to 675.14, 931.50 and 423.28 is: 584.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.14 : 931.50 = 423.28 : x
  2. Step 2: Convert to fraction form
    675.14/931.50 = 423.28/x
  3. Step 3: Cross multiply
    675.14x = 931.50 × 423.28
  4. Step 4: Simplify right side
    675.14x = 394,282.99
  5. Step 5: Solve for x
    x = 394,282.99/675.14
  6. Step 6: Final answer
    x = 584.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.