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Finding the Fourth Proportional to 651.31, 976.35 and 286.31

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Solution

The fourth proportional to 651.31, 976.35 and 286.31 is: 429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.31 : 976.35 = 286.31 : x
  2. Step 2: Convert to fraction form
    651.31/976.35 = 286.31/x
  3. Step 3: Cross multiply
    651.31x = 976.35 × 286.31
  4. Step 4: Simplify right side
    651.31x = 279,538.77
  5. Step 5: Solve for x
    x = 279,538.77/651.31
  6. Step 6: Final answer
    x = 429.19

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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.