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Finding the Fourth Proportional to 1,275.85, 1,759.12 and 992.35

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Solution

The fourth proportional to 1,275.85, 1,759.12 and 992.35 is: 1,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.85 : 1,759.12 = 992.35 : x
  2. Step 2: Convert to fraction form
    1,275.85/1,759.12 = 992.35/x
  3. Step 3: Cross multiply
    1,275.85x = 1,759.12 × 992.35
  4. Step 4: Simplify right side
    1,275.85x = 1,745,662.73
  5. Step 5: Solve for x
    x = 1,745,662.73/1,275.85
  6. Step 6: Final answer
    x = 1,368.24

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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.