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Finding the Fourth Proportional to 761.31, 1,051.24 and 513.45

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Solution

The fourth proportional to 761.31, 1,051.24 and 513.45 is: 708.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.31 : 1,051.24 = 513.45 : x
  2. Step 2: Convert to fraction form
    761.31/1,051.24 = 513.45/x
  3. Step 3: Cross multiply
    761.31x = 1,051.24 × 513.45
  4. Step 4: Simplify right side
    761.31x = 539,759.18
  5. Step 5: Solve for x
    x = 539,759.18/761.31
  6. Step 6: Final answer
    x = 708.99

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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.