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Finding the Fourth Proportional to 774.54, 1,070.31 and 627.93

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Solution

The fourth proportional to 774.54, 1,070.31 and 627.93 is: 867.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.54 : 1,070.31 = 627.93 : x
  2. Step 2: Convert to fraction form
    774.54/1,070.31 = 627.93/x
  3. Step 3: Cross multiply
    774.54x = 1,070.31 × 627.93
  4. Step 4: Simplify right side
    774.54x = 672,079.76
  5. Step 5: Solve for x
    x = 672,079.76/774.54
  6. Step 6: Final answer
    x = 867.71

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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.