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Finding the Fourth Proportional to 1,794.22, 2,689.88 and 561.00

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Solution

The fourth proportional to 1,794.22, 2,689.88 and 561.00 is: 841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.22 : 2,689.88 = 561.00 : x
  2. Step 2: Convert to fraction form
    1,794.22/2,689.88 = 561.00/x
  3. Step 3: Cross multiply
    1,794.22x = 2,689.88 × 561.00
  4. Step 4: Simplify right side
    1,794.22x = 1,509,011.89
  5. Step 5: Solve for x
    x = 1,509,011.89/1,794.22
  6. Step 6: Final answer
    x = 841.04

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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.