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Finding the Fourth Proportional to 1,175.61, 1,764.56 and 559.74

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Solution

The fourth proportional to 1,175.61, 1,764.56 and 559.74 is: 840.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.61 : 1,764.56 = 559.74 : x
  2. Step 2: Convert to fraction form
    1,175.61/1,764.56 = 559.74/x
  3. Step 3: Cross multiply
    1,175.61x = 1,764.56 × 559.74
  4. Step 4: Simplify right side
    1,175.61x = 987,696.21
  5. Step 5: Solve for x
    x = 987,696.21/1,175.61
  6. Step 6: Final answer
    x = 840.16

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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.