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Finding the Fourth Proportional to 675.40, 1,013.39 and 285.49

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Solution

The fourth proportional to 675.40, 1,013.39 and 285.49 is: 428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.40 : 1,013.39 = 285.49 : x
  2. Step 2: Convert to fraction form
    675.40/1,013.39 = 285.49/x
  3. Step 3: Cross multiply
    675.40x = 1,013.39 × 285.49
  4. Step 4: Simplify right side
    675.40x = 289,312.71
  5. Step 5: Solve for x
    x = 289,312.71/675.40
  6. Step 6: Final answer
    x = 428.36

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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.