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Finding the Fourth Proportional to 877.88, 1,317.05 and 390.82

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Solution

The fourth proportional to 877.88, 1,317.05 and 390.82 is: 586.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.88 : 1,317.05 = 390.82 : x
  2. Step 2: Convert to fraction form
    877.88/1,317.05 = 390.82/x
  3. Step 3: Cross multiply
    877.88x = 1,317.05 × 390.82
  4. Step 4: Simplify right side
    877.88x = 514,729.48
  5. Step 5: Solve for x
    x = 514,729.48/877.88
  6. Step 6: Final answer
    x = 586.33

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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.