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Finding the Fourth Proportional to 881.42, 1,216.40 and 508.50

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Solution

The fourth proportional to 881.42, 1,216.40 and 508.50 is: 701.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.42 : 1,216.40 = 508.50 : x
  2. Step 2: Convert to fraction form
    881.42/1,216.40 = 508.50/x
  3. Step 3: Cross multiply
    881.42x = 1,216.40 × 508.50
  4. Step 4: Simplify right side
    881.42x = 618,536.86
  5. Step 5: Solve for x
    x = 618,536.86/881.42
  6. Step 6: Final answer
    x = 701.75

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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.