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Finding the Fourth Proportional to 675, 931.23 and 478.76

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Solution

The fourth proportional to 675, 931.23 and 478.76 is: 660.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    675 : 931.23 = 478.76 : x
  2. Step 2: Convert to fraction form
    675/931.23 = 478.76/x
  3. Step 3: Cross multiply
    675x = 931.23 × 478.76
  4. Step 4: Simplify right side
    675x = 445,831.02
  5. Step 5: Solve for x
    x = 445,831.02/675
  6. Step 6: Final answer
    x = 660.49

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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.