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Finding the Fourth Proportional to 1,136.81, 1,561.99 and 903.53

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Solution

The fourth proportional to 1,136.81, 1,561.99 and 903.53 is: 1,241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.81 : 1,561.99 = 903.53 : x
  2. Step 2: Convert to fraction form
    1,136.81/1,561.99 = 903.53/x
  3. Step 3: Cross multiply
    1,136.81x = 1,561.99 × 903.53
  4. Step 4: Simplify right side
    1,136.81x = 1,411,299.27
  5. Step 5: Solve for x
    x = 1,411,299.27/1,136.81
  6. Step 6: Final answer
    x = 1,241.46

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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.