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Finding the Fourth Proportional to 917.90, 1,266.67 and 539.89

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Solution

The fourth proportional to 917.90, 1,266.67 and 539.89 is: 745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.90 : 1,266.67 = 539.89 : x
  2. Step 2: Convert to fraction form
    917.90/1,266.67 = 539.89/x
  3. Step 3: Cross multiply
    917.90x = 1,266.67 × 539.89
  4. Step 4: Simplify right side
    917.90x = 683,862.47
  5. Step 5: Solve for x
    x = 683,862.47/917.90
  6. Step 6: Final answer
    x = 745.03

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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.