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Finding the Fourth Proportional to 597.08, 891.77 and 515.07

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Solution

The fourth proportional to 597.08, 891.77 and 515.07 is: 769.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.08 : 891.77 = 515.07 : x
  2. Step 2: Convert to fraction form
    597.08/891.77 = 515.07/x
  3. Step 3: Cross multiply
    597.08x = 891.77 × 515.07
  4. Step 4: Simplify right side
    597.08x = 459,321.40
  5. Step 5: Solve for x
    x = 459,321.40/597.08
  6. Step 6: Final answer
    x = 769.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.