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Finding the Fourth Proportional to 901.76, 1,352.64 and 657.14

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Solution

The fourth proportional to 901.76, 1,352.64 and 657.14 is: 985.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.76 : 1,352.64 = 657.14 : x
  2. Step 2: Convert to fraction form
    901.76/1,352.64 = 657.14/x
  3. Step 3: Cross multiply
    901.76x = 1,352.64 × 657.14
  4. Step 4: Simplify right side
    901.76x = 888,873.85
  5. Step 5: Solve for x
    x = 888,873.85/901.76
  6. Step 6: Final answer
    x = 985.71

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.