Home / 1,027.21-1,417.50-561.46

Finding the Fourth Proportional to 1,027.21, 1,417.50 and 561.46

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Solution

The fourth proportional to 1,027.21, 1,417.50 and 561.46 is: 774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.21 : 1,417.50 = 561.46 : x
  2. Step 2: Convert to fraction form
    1,027.21/1,417.50 = 561.46/x
  3. Step 3: Cross multiply
    1,027.21x = 1,417.50 × 561.46
  4. Step 4: Simplify right side
    1,027.21x = 795,869.55
  5. Step 5: Solve for x
    x = 795,869.55/1,027.21
  6. Step 6: Final answer
    x = 774.79

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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.