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Finding the Fourth Proportional to 822.78, 1,133.51 and 573.65

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Solution

The fourth proportional to 822.78, 1,133.51 and 573.65 is: 790.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.78 : 1,133.51 = 573.65 : x
  2. Step 2: Convert to fraction form
    822.78/1,133.51 = 573.65/x
  3. Step 3: Cross multiply
    822.78x = 1,133.51 × 573.65
  4. Step 4: Simplify right side
    822.78x = 650,238.01
  5. Step 5: Solve for x
    x = 650,238.01/822.78
  6. Step 6: Final answer
    x = 790.29

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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.