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Finding the Fourth Proportional to 1,136.93, 1,562.16 and 903.65

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Solution

The fourth proportional to 1,136.93, 1,562.16 and 903.65 is: 1,241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.93 : 1,562.16 = 903.65 : x
  2. Step 2: Convert to fraction form
    1,136.93/1,562.16 = 903.65/x
  3. Step 3: Cross multiply
    1,136.93x = 1,562.16 × 903.65
  4. Step 4: Simplify right side
    1,136.93x = 1,411,648.14
  5. Step 5: Solve for x
    x = 1,411,648.14/1,136.93
  6. Step 6: Final answer
    x = 1,241.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.