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Finding the Fourth Proportional to 901.64, 1,243.91 and 666.15

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Solution

The fourth proportional to 901.64, 1,243.91 and 666.15 is: 919.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.64 : 1,243.91 = 666.15 : x
  2. Step 2: Convert to fraction form
    901.64/1,243.91 = 666.15/x
  3. Step 3: Cross multiply
    901.64x = 1,243.91 × 666.15
  4. Step 4: Simplify right side
    901.64x = 828,627.32
  5. Step 5: Solve for x
    x = 828,627.32/901.64
  6. Step 6: Final answer
    x = 919.03

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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.