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Finding the Fourth Proportional to 971.56, 1,339.26 and 774.76

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Solution

The fourth proportional to 971.56, 1,339.26 and 774.76 is: 1,067.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.56 : 1,339.26 = 774.76 : x
  2. Step 2: Convert to fraction form
    971.56/1,339.26 = 774.76/x
  3. Step 3: Cross multiply
    971.56x = 1,339.26 × 774.76
  4. Step 4: Simplify right side
    971.56x = 1,037,605.08
  5. Step 5: Solve for x
    x = 1,037,605.08/971.56
  6. Step 6: Final answer
    x = 1,067.98

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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.