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Finding the Fourth Proportional to 814.22, 1,122.45 and 565.16

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Solution

The fourth proportional to 814.22, 1,122.45 and 565.16 is: 779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.22 : 1,122.45 = 565.16 : x
  2. Step 2: Convert to fraction form
    814.22/1,122.45 = 565.16/x
  3. Step 3: Cross multiply
    814.22x = 1,122.45 × 565.16
  4. Step 4: Simplify right side
    814.22x = 634,363.84
  5. Step 5: Solve for x
    x = 634,363.84/814.22
  6. Step 6: Final answer
    x = 779.11

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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.