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Finding the Fourth Proportional to 856.57, 1,182.05 and 483.59

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Solution

The fourth proportional to 856.57, 1,182.05 and 483.59 is: 667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.57 : 1,182.05 = 483.59 : x
  2. Step 2: Convert to fraction form
    856.57/1,182.05 = 483.59/x
  3. Step 3: Cross multiply
    856.57x = 1,182.05 × 483.59
  4. Step 4: Simplify right side
    856.57x = 571,627.56
  5. Step 5: Solve for x
    x = 571,627.56/856.57
  6. Step 6: Final answer
    x = 667.34

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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.