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Finding the Fourth Proportional to 762.07, 1,051.77 and 426.00

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Solution

The fourth proportional to 762.07, 1,051.77 and 426.00 is: 587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.07 : 1,051.77 = 426.00 : x
  2. Step 2: Convert to fraction form
    762.07/1,051.77 = 426.00/x
  3. Step 3: Cross multiply
    762.07x = 1,051.77 × 426.00
  4. Step 4: Simplify right side
    762.07x = 448,049.00
  5. Step 5: Solve for x
    x = 448,049.00/762.07
  6. Step 6: Final answer
    x = 587.94

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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.