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Finding the Fourth Proportional to 1,175.90, 1,762.34 and 559.80

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Solution

The fourth proportional to 1,175.90, 1,762.34 and 559.80 is: 838.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.90 : 1,762.34 = 559.80 : x
  2. Step 2: Convert to fraction form
    1,175.90/1,762.34 = 559.80/x
  3. Step 3: Cross multiply
    1,175.90x = 1,762.34 × 559.80
  4. Step 4: Simplify right side
    1,175.90x = 986,548.52
  5. Step 5: Solve for x
    x = 986,548.52/1,175.90
  6. Step 6: Final answer
    x = 838.97

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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.