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Finding the Fourth Proportional to 774.51, 1,067.76 and 656.01

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Solution

The fourth proportional to 774.51, 1,067.76 and 656.01 is: 904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.51 : 1,067.76 = 656.01 : x
  2. Step 2: Convert to fraction form
    774.51/1,067.76 = 656.01/x
  3. Step 3: Cross multiply
    774.51x = 1,067.76 × 656.01
  4. Step 4: Simplify right side
    774.51x = 700,461.24
  5. Step 5: Solve for x
    x = 700,461.24/774.51
  6. Step 6: Final answer
    x = 904.39

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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.