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Finding the Fourth Proportional to 773.02, 1,067.07 and 510.94

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Solution

The fourth proportional to 773.02, 1,067.07 and 510.94 is: 705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.02 : 1,067.07 = 510.94 : x
  2. Step 2: Convert to fraction form
    773.02/1,067.07 = 510.94/x
  3. Step 3: Cross multiply
    773.02x = 1,067.07 × 510.94
  4. Step 4: Simplify right side
    773.02x = 545,208.75
  5. Step 5: Solve for x
    x = 545,208.75/773.02
  6. Step 6: Final answer
    x = 705.30

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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.