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Finding the Fourth Proportional to 877.87, 1,316.81 and 391.26

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Solution

The fourth proportional to 877.87, 1,316.81 and 391.26 is: 586.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.87 : 1,316.81 = 391.26 : x
  2. Step 2: Convert to fraction form
    877.87/1,316.81 = 391.26/x
  3. Step 3: Cross multiply
    877.87x = 1,316.81 × 391.26
  4. Step 4: Simplify right side
    877.87x = 515,215.08
  5. Step 5: Solve for x
    x = 515,215.08/877.87
  6. Step 6: Final answer
    x = 586.89

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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.