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Finding the Fourth Proportional to 856.68, 1,182.28 and 646.49

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Solution

The fourth proportional to 856.68, 1,182.28 and 646.49 is: 892.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.68 : 1,182.28 = 646.49 : x
  2. Step 2: Convert to fraction form
    856.68/1,182.28 = 646.49/x
  3. Step 3: Cross multiply
    856.68x = 1,182.28 × 646.49
  4. Step 4: Simplify right side
    856.68x = 764,332.20
  5. Step 5: Solve for x
    x = 764,332.20/856.68
  6. Step 6: Final answer
    x = 892.20

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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.