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Finding the Fourth Proportional to 2,020.77, 3,031.16 and 559.93

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Solution

The fourth proportional to 2,020.77, 3,031.16 and 559.93 is: 839.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.77 : 3,031.16 = 559.93 : x
  2. Step 2: Convert to fraction form
    2,020.77/3,031.16 = 559.93/x
  3. Step 3: Cross multiply
    2,020.77x = 3,031.16 × 559.93
  4. Step 4: Simplify right side
    2,020.77x = 1,697,227.04
  5. Step 5: Solve for x
    x = 1,697,227.04/2,020.77
  6. Step 6: Final answer
    x = 839.89

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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.