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Finding the Fourth Proportional to 926.42, 1,277.96 and 627.66

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Solution

The fourth proportional to 926.42, 1,277.96 and 627.66 is: 865.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.42 : 1,277.96 = 627.66 : x
  2. Step 2: Convert to fraction form
    926.42/1,277.96 = 627.66/x
  3. Step 3: Cross multiply
    926.42x = 1,277.96 × 627.66
  4. Step 4: Simplify right side
    926.42x = 802,124.37
  5. Step 5: Solve for x
    x = 802,124.37/926.42
  6. Step 6: Final answer
    x = 865.83

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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.