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Finding the Fourth Proportional to 856.47, 1,180.86 and 714.88

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Solution

The fourth proportional to 856.47, 1,180.86 and 714.88 is: 985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.47 : 1,180.86 = 714.88 : x
  2. Step 2: Convert to fraction form
    856.47/1,180.86 = 714.88/x
  3. Step 3: Cross multiply
    856.47x = 1,180.86 × 714.88
  4. Step 4: Simplify right side
    856.47x = 844,169.62
  5. Step 5: Solve for x
    x = 844,169.62/856.47
  6. Step 6: Final answer
    x = 985.64

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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.