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Finding the Fourth Proportional to 1,793.64, 2,690.29 and 561

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Solution

The fourth proportional to 1,793.64, 2,690.29 and 561 is: 841.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.64 : 2,690.29 = 561 : x
  2. Step 2: Convert to fraction form
    1,793.64/2,690.29 = 561/x
  3. Step 3: Cross multiply
    1,793.64x = 2,690.29 × 561
  4. Step 4: Simplify right side
    1,793.64x = 1,509,252.69
  5. Step 5: Solve for x
    x = 1,509,252.69/1,793.64
  6. Step 6: Final answer
    x = 841.45

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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.