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Finding the Fourth Proportional to 823.47, 1,136.07 and 561.72

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Solution

The fourth proportional to 823.47, 1,136.07 and 561.72 is: 774.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.47 : 1,136.07 = 561.72 : x
  2. Step 2: Convert to fraction form
    823.47/1,136.07 = 561.72/x
  3. Step 3: Cross multiply
    823.47x = 1,136.07 × 561.72
  4. Step 4: Simplify right side
    823.47x = 638,153.24
  5. Step 5: Solve for x
    x = 638,153.24/823.47
  6. Step 6: Final answer
    x = 774.96

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Double scale
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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.