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Finding the Fourth Proportional to 863.63, 1,293.14 and 590.25

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Solution

The fourth proportional to 863.63, 1,293.14 and 590.25 is: 883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.63 : 1,293.14 = 590.25 : x
  2. Step 2: Convert to fraction form
    863.63/1,293.14 = 590.25/x
  3. Step 3: Cross multiply
    863.63x = 1,293.14 × 590.25
  4. Step 4: Simplify right side
    863.63x = 763,275.89
  5. Step 5: Solve for x
    x = 763,275.89/863.63
  6. Step 6: Final answer
    x = 883.80

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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.