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Finding the Fourth Proportional to 877.08, 1,209.91 and 577.96

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Solution

The fourth proportional to 877.08, 1,209.91 and 577.96 is: 797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.08 : 1,209.91 = 577.96 : x
  2. Step 2: Convert to fraction form
    877.08/1,209.91 = 577.96/x
  3. Step 3: Cross multiply
    877.08x = 1,209.91 × 577.96
  4. Step 4: Simplify right side
    877.08x = 699,281.23
  5. Step 5: Solve for x
    x = 699,281.23/877.08
  6. Step 6: Final answer
    x = 797.28

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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.