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Finding the Fourth Proportional to 772.90, 1,067.05 and 507.76

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Solution

The fourth proportional to 772.90, 1,067.05 and 507.76 is: 701.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.90 : 1,067.05 = 507.76 : x
  2. Step 2: Convert to fraction form
    772.90/1,067.05 = 507.76/x
  3. Step 3: Cross multiply
    772.90x = 1,067.05 × 507.76
  4. Step 4: Simplify right side
    772.90x = 541,807.28
  5. Step 5: Solve for x
    x = 541,807.28/772.90
  6. Step 6: Final answer
    x = 701.01

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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.