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Finding the Fourth Proportional to 675.13, 1,013.16 and 444.13

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Solution

The fourth proportional to 675.13, 1,013.16 and 444.13 is: 666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.13 : 1,013.16 = 444.13 : x
  2. Step 2: Convert to fraction form
    675.13/1,013.16 = 444.13/x
  3. Step 3: Cross multiply
    675.13x = 1,013.16 × 444.13
  4. Step 4: Simplify right side
    675.13x = 449,974.75
  5. Step 5: Solve for x
    x = 449,974.75/675.13
  6. Step 6: Final answer
    x = 666.50

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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.