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Finding the Fourth Proportional to 823.52, 1,136.52 and 469.55

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Solution

The fourth proportional to 823.52, 1,136.52 and 469.55 is: 648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.52 : 1,136.52 = 469.55 : x
  2. Step 2: Convert to fraction form
    823.52/1,136.52 = 469.55/x
  3. Step 3: Cross multiply
    823.52x = 1,136.52 × 469.55
  4. Step 4: Simplify right side
    823.52x = 533,656.98
  5. Step 5: Solve for x
    x = 533,656.98/823.52
  6. Step 6: Final answer
    x = 648.02

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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.