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Finding the Fourth Proportional to 913.48, 1,259.91 and 633.71

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Solution

The fourth proportional to 913.48, 1,259.91 and 633.71 is: 874.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.48 : 1,259.91 = 633.71 : x
  2. Step 2: Convert to fraction form
    913.48/1,259.91 = 633.71/x
  3. Step 3: Cross multiply
    913.48x = 1,259.91 × 633.71
  4. Step 4: Simplify right side
    913.48x = 798,420.72
  5. Step 5: Solve for x
    x = 798,420.72/913.48
  6. Step 6: Final answer
    x = 874.05

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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.