Home / 1,027.31-1,417.70-561.56

Finding the Fourth Proportional to 1,027.31, 1,417.70 and 561.56

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Solution

The fourth proportional to 1,027.31, 1,417.70 and 561.56 is: 774.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.31 : 1,417.70 = 561.56 : x
  2. Step 2: Convert to fraction form
    1,027.31/1,417.70 = 561.56/x
  3. Step 3: Cross multiply
    1,027.31x = 1,417.70 × 561.56
  4. Step 4: Simplify right side
    1,027.31x = 796,123.61
  5. Step 5: Solve for x
    x = 796,123.61/1,027.31
  6. Step 6: Final answer
    x = 774.96

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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.