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Finding the Fourth Proportional to 1,275.15, 1,759.28 and 809.67

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Solution

The fourth proportional to 1,275.15, 1,759.28 and 809.67 is: 1,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.15 : 1,759.28 = 809.67 : x
  2. Step 2: Convert to fraction form
    1,275.15/1,759.28 = 809.67/x
  3. Step 3: Cross multiply
    1,275.15x = 1,759.28 × 809.67
  4. Step 4: Simplify right side
    1,275.15x = 1,424,432.19
  5. Step 5: Solve for x
    x = 1,424,432.19/1,275.15
  6. Step 6: Final answer
    x = 1,117.07

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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.