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Finding the Fourth Proportional to 913.32, 1,259.72 and 899.66

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Solution

The fourth proportional to 913.32, 1,259.72 and 899.66 is: 1,240.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.32 : 1,259.72 = 899.66 : x
  2. Step 2: Convert to fraction form
    913.32/1,259.72 = 899.66/x
  3. Step 3: Cross multiply
    913.32x = 1,259.72 × 899.66
  4. Step 4: Simplify right side
    913.32x = 1,133,308.90
  5. Step 5: Solve for x
    x = 1,133,308.90/913.32
  6. Step 6: Final answer
    x = 1,240.87

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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.