Home / 1,027.25-1,417.61-561.50

Finding the Fourth Proportional to 1,027.25, 1,417.61 and 561.50

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Solution

The fourth proportional to 1,027.25, 1,417.61 and 561.50 is: 774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.25 : 1,417.61 = 561.50 : x
  2. Step 2: Convert to fraction form
    1,027.25/1,417.61 = 561.50/x
  3. Step 3: Cross multiply
    1,027.25x = 1,417.61 × 561.50
  4. Step 4: Simplify right side
    1,027.25x = 795,988.02
  5. Step 5: Solve for x
    x = 795,988.02/1,027.25
  6. Step 6: Final answer
    x = 774.87

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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.