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Finding the Fourth Proportional to 1,136.55, 1,567.44 and 823.89

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Solution

The fourth proportional to 1,136.55, 1,567.44 and 823.89 is: 1,136.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.55 : 1,567.44 = 823.89 : x
  2. Step 2: Convert to fraction form
    1,136.55/1,567.44 = 823.89/x
  3. Step 3: Cross multiply
    1,136.55x = 1,567.44 × 823.89
  4. Step 4: Simplify right side
    1,136.55x = 1,291,398.14
  5. Step 5: Solve for x
    x = 1,291,398.14/1,136.55
  6. Step 6: Final answer
    x = 1,136.24

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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.