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Finding the Fourth Proportional to 1,369.14, 2,053.51 and 503.25

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Solution

The fourth proportional to 1,369.14, 2,053.51 and 503.25 is: 754.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.14 : 2,053.51 = 503.25 : x
  2. Step 2: Convert to fraction form
    1,369.14/2,053.51 = 503.25/x
  3. Step 3: Cross multiply
    1,369.14x = 2,053.51 × 503.25
  4. Step 4: Simplify right side
    1,369.14x = 1,033,427.65
  5. Step 5: Solve for x
    x = 1,033,427.65/1,369.14
  6. Step 6: Final answer
    x = 754.80

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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.