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Finding the Fourth Proportional to 823.32, 1,136.20 and 469.24

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Solution

The fourth proportional to 823.32, 1,136.20 and 469.24 is: 647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.32 : 1,136.20 = 469.24 : x
  2. Step 2: Convert to fraction form
    823.32/1,136.20 = 469.24/x
  3. Step 3: Cross multiply
    823.32x = 1,136.20 × 469.24
  4. Step 4: Simplify right side
    823.32x = 533,150.49
  5. Step 5: Solve for x
    x = 533,150.49/823.32
  6. Step 6: Final answer
    x = 647.56

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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.