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Finding the Fourth Proportional to 1,729.82, 2,594.73 and 560.80

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Solution

The fourth proportional to 1,729.82, 2,594.73 and 560.80 is: 841.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.82 : 2,594.73 = 560.80 : x
  2. Step 2: Convert to fraction form
    1,729.82/2,594.73 = 560.80/x
  3. Step 3: Cross multiply
    1,729.82x = 2,594.73 × 560.80
  4. Step 4: Simplify right side
    1,729.82x = 1,455,108.81
  5. Step 5: Solve for x
    x = 1,455,108.81/1,729.82
  6. Step 6: Final answer
    x = 841.19

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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.