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Finding the Fourth Proportional to 822.84, 1,136.12 and 528.27

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Solution

The fourth proportional to 822.84, 1,136.12 and 528.27 is: 729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.84 : 1,136.12 = 528.27 : x
  2. Step 2: Convert to fraction form
    822.84/1,136.12 = 528.27/x
  3. Step 3: Cross multiply
    822.84x = 1,136.12 × 528.27
  4. Step 4: Simplify right side
    822.84x = 600,178.11
  5. Step 5: Solve for x
    x = 600,178.11/822.84
  6. Step 6: Final answer
    x = 729.40

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Double scale
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1.5x scale

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.