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Finding the Fourth Proportional to 877.37, 1,314.34 and 511.39

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Solution

The fourth proportional to 877.37, 1,314.34 and 511.39 is: 766.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.37 : 1,314.34 = 511.39 : x
  2. Step 2: Convert to fraction form
    877.37/1,314.34 = 511.39/x
  3. Step 3: Cross multiply
    877.37x = 1,314.34 × 511.39
  4. Step 4: Simplify right side
    877.37x = 672,140.70
  5. Step 5: Solve for x
    x = 672,140.70/877.37
  6. Step 6: Final answer
    x = 766.09

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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.