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Finding the Fourth Proportional to 762.23, 1,051.78 and 426.12

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Solution

The fourth proportional to 762.23, 1,051.78 and 426.12 is: 587.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.23 : 1,051.78 = 426.12 : x
  2. Step 2: Convert to fraction form
    762.23/1,051.78 = 426.12/x
  3. Step 3: Cross multiply
    762.23x = 1,051.78 × 426.12
  4. Step 4: Simplify right side
    762.23x = 448,182.04
  5. Step 5: Solve for x
    x = 448,182.04/762.23
  6. Step 6: Final answer
    x = 587.99

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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.