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Finding the Fourth Proportional to 854.24, 1,280.30 and 360.63

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Solution

The fourth proportional to 854.24, 1,280.30 and 360.63 is: 540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.24 : 1,280.30 = 360.63 : x
  2. Step 2: Convert to fraction form
    854.24/1,280.30 = 360.63/x
  3. Step 3: Cross multiply
    854.24x = 1,280.30 × 360.63
  4. Step 4: Simplify right side
    854.24x = 461,712.79
  5. Step 5: Solve for x
    x = 461,712.79/854.24
  6. Step 6: Final answer
    x = 540.50

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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.