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Finding the Fourth Proportional to 823.63, 1,136.64 and 469.61

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Solution

The fourth proportional to 823.63, 1,136.64 and 469.61 is: 648.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.63 : 1,136.64 = 469.61 : x
  2. Step 2: Convert to fraction form
    823.63/1,136.64 = 469.61/x
  3. Step 3: Cross multiply
    823.63x = 1,136.64 × 469.61
  4. Step 4: Simplify right side
    823.63x = 533,774.93
  5. Step 5: Solve for x
    x = 533,774.93/823.63
  6. Step 6: Final answer
    x = 648.07

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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.