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Finding the Fourth Proportional to 1,136.50, 1,566.75 and 782.31

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Solution

The fourth proportional to 1,136.50, 1,566.75 and 782.31 is: 1,078.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.50 : 1,566.75 = 782.31 : x
  2. Step 2: Convert to fraction form
    1,136.50/1,566.75 = 782.31/x
  3. Step 3: Cross multiply
    1,136.50x = 1,566.75 × 782.31
  4. Step 4: Simplify right side
    1,136.50x = 1,225,684.19
  5. Step 5: Solve for x
    x = 1,225,684.19/1,136.50
  6. Step 6: Final answer
    x = 1,078.47

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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.