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Finding the Fourth Proportional to 913.26, 1,259.45 and 598.80

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Solution

The fourth proportional to 913.26, 1,259.45 and 598.80 is: 825.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.26 : 1,259.45 = 598.80 : x
  2. Step 2: Convert to fraction form
    913.26/1,259.45 = 598.80/x
  3. Step 3: Cross multiply
    913.26x = 1,259.45 × 598.80
  4. Step 4: Simplify right side
    913.26x = 754,162.63
  5. Step 5: Solve for x
    x = 754,162.63/913.26
  6. Step 6: Final answer
    x = 825.79

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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.