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Finding the Fourth Proportional to 971.26, 1,454.55 and 605.59

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Solution

The fourth proportional to 971.26, 1,454.55 and 605.59 is: 906.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.26 : 1,454.55 = 605.59 : x
  2. Step 2: Convert to fraction form
    971.26/1,454.55 = 605.59/x
  3. Step 3: Cross multiply
    971.26x = 1,454.55 × 605.59
  4. Step 4: Simplify right side
    971.26x = 880,860.93
  5. Step 5: Solve for x
    x = 880,860.93/971.26
  6. Step 6: Final answer
    x = 906.93

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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.