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Finding the Fourth Proportional to 877.82, 1,209.58 and 719.96

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Solution

The fourth proportional to 877.82, 1,209.58 and 719.96 is: 992.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.82 : 1,209.58 = 719.96 : x
  2. Step 2: Convert to fraction form
    877.82/1,209.58 = 719.96/x
  3. Step 3: Cross multiply
    877.82x = 1,209.58 × 719.96
  4. Step 4: Simplify right side
    877.82x = 870,849.22
  5. Step 5: Solve for x
    x = 870,849.22/877.82
  6. Step 6: Final answer
    x = 992.06

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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.