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Finding the Fourth Proportional to 675.19, 931.41 and 478.36

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Solution

The fourth proportional to 675.19, 931.41 and 478.36 is: 659.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.19 : 931.41 = 478.36 : x
  2. Step 2: Convert to fraction form
    675.19/931.41 = 478.36/x
  3. Step 3: Cross multiply
    675.19x = 931.41 × 478.36
  4. Step 4: Simplify right side
    675.19x = 445,549.29
  5. Step 5: Solve for x
    x = 445,549.29/675.19
  6. Step 6: Final answer
    x = 659.89

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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.