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Finding the Fourth Proportional to 896.31, 1,237.13 and 564.75

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Solution

The fourth proportional to 896.31, 1,237.13 and 564.75 is: 779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.31 : 1,237.13 = 564.75 : x
  2. Step 2: Convert to fraction form
    896.31/1,237.13 = 564.75/x
  3. Step 3: Cross multiply
    896.31x = 1,237.13 × 564.75
  4. Step 4: Simplify right side
    896.31x = 698,669.17
  5. Step 5: Solve for x
    x = 698,669.17/896.31
  6. Step 6: Final answer
    x = 779.50

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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.