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Finding the Fourth Proportional to 855.85, 1,282.40 and 508.36

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Solution

The fourth proportional to 855.85, 1,282.40 and 508.36 is: 761.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.85 : 1,282.40 = 508.36 : x
  2. Step 2: Convert to fraction form
    855.85/1,282.40 = 508.36/x
  3. Step 3: Cross multiply
    855.85x = 1,282.40 × 508.36
  4. Step 4: Simplify right side
    855.85x = 651,911.91
  5. Step 5: Solve for x
    x = 651,911.91/855.85
  6. Step 6: Final answer
    x = 761.72

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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.