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Finding the Fourth Proportional to 1,136.79, 1,703.45 and 765.22

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Solution

The fourth proportional to 1,136.79, 1,703.45 and 765.22 is: 1,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.79 : 1,703.45 = 765.22 : x
  2. Step 2: Convert to fraction form
    1,136.79/1,703.45 = 765.22/x
  3. Step 3: Cross multiply
    1,136.79x = 1,703.45 × 765.22
  4. Step 4: Simplify right side
    1,136.79x = 1,303,510.18
  5. Step 5: Solve for x
    x = 1,303,510.18/1,136.79
  6. Step 6: Final answer
    x = 1,146.66

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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.