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Finding the Fourth Proportional to 860.77, 1,282.04 and 856.57

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Solution

The fourth proportional to 860.77, 1,282.04 and 856.57 is: 1,275.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.77 : 1,282.04 = 856.57 : x
  2. Step 2: Convert to fraction form
    860.77/1,282.04 = 856.57/x
  3. Step 3: Cross multiply
    860.77x = 1,282.04 × 856.57
  4. Step 4: Simplify right side
    860.77x = 1,098,153.79
  5. Step 5: Solve for x
    x = 1,098,153.79/860.77
  6. Step 6: Final answer
    x = 1,275.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.