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Finding the Fourth Proportional to 675.90, 1,013.78 and 403.71

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Solution

The fourth proportional to 675.90, 1,013.78 and 403.71 is: 605.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.90 : 1,013.78 = 403.71 : x
  2. Step 2: Convert to fraction form
    675.90/1,013.78 = 403.71/x
  3. Step 3: Cross multiply
    675.90x = 1,013.78 × 403.71
  4. Step 4: Simplify right side
    675.90x = 409,271.11
  5. Step 5: Solve for x
    x = 409,271.11/675.90
  6. Step 6: Final answer
    x = 605.52

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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.