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Finding the Fourth Proportional to 914.86, 1,262.61 and 635.02

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Solution

The fourth proportional to 914.86, 1,262.61 and 635.02 is: 876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.86 : 1,262.61 = 635.02 : x
  2. Step 2: Convert to fraction form
    914.86/1,262.61 = 635.02/x
  3. Step 3: Cross multiply
    914.86x = 1,262.61 × 635.02
  4. Step 4: Simplify right side
    914.86x = 801,782.60
  5. Step 5: Solve for x
    x = 801,782.60/914.86
  6. Step 6: Final answer
    x = 876.40

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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.