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Finding the Fourth Proportional to 597.80, 891.97 and 501.80

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Solution

The fourth proportional to 597.80, 891.97 and 501.80 is: 748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.80 : 891.97 = 501.80 : x
  2. Step 2: Convert to fraction form
    597.80/891.97 = 501.80/x
  3. Step 3: Cross multiply
    597.80x = 891.97 × 501.80
  4. Step 4: Simplify right side
    597.80x = 447,590.55
  5. Step 5: Solve for x
    x = 447,590.55/597.80
  6. Step 6: Final answer
    x = 748.73

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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.