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Finding the Fourth Proportional to 901.66, 1,350.50 and 657.64

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Solution

The fourth proportional to 901.66, 1,350.50 and 657.64 is: 985.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.66 : 1,350.50 = 657.64 : x
  2. Step 2: Convert to fraction form
    901.66/1,350.50 = 657.64/x
  3. Step 3: Cross multiply
    901.66x = 1,350.50 × 657.64
  4. Step 4: Simplify right side
    901.66x = 888,142.82
  5. Step 5: Solve for x
    x = 888,142.82/901.66
  6. Step 6: Final answer
    x = 985.01

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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.