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Finding the Fourth Proportional to 822.93, 1,136.40 and 528.71

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Solution

The fourth proportional to 822.93, 1,136.40 and 528.71 is: 730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.93 : 1,136.40 = 528.71 : x
  2. Step 2: Convert to fraction form
    822.93/1,136.40 = 528.71/x
  3. Step 3: Cross multiply
    822.93x = 1,136.40 × 528.71
  4. Step 4: Simplify right side
    822.93x = 600,826.04
  5. Step 5: Solve for x
    x = 600,826.04/822.93
  6. Step 6: Final answer
    x = 730.11

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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.