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Finding the Fourth Proportional to 1,136.79, 1,567.50 and 716.62

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Solution

The fourth proportional to 1,136.79, 1,567.50 and 716.62 is: 988.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.79 : 1,567.50 = 716.62 : x
  2. Step 2: Convert to fraction form
    1,136.79/1,567.50 = 716.62/x
  3. Step 3: Cross multiply
    1,136.79x = 1,567.50 × 716.62
  4. Step 4: Simplify right side
    1,136.79x = 1,123,301.85
  5. Step 5: Solve for x
    x = 1,123,301.85/1,136.79
  6. Step 6: Final answer
    x = 988.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.