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Finding the Fourth Proportional to 890.21, 1,228.40 and 610.69

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Solution

The fourth proportional to 890.21, 1,228.40 and 610.69 is: 842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.21 : 1,228.40 = 610.69 : x
  2. Step 2: Convert to fraction form
    890.21/1,228.40 = 610.69/x
  3. Step 3: Cross multiply
    890.21x = 1,228.40 × 610.69
  4. Step 4: Simplify right side
    890.21x = 750,165.45
  5. Step 5: Solve for x
    x = 750,165.45/890.21
  6. Step 6: Final answer
    x = 842.68

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1.5x scale

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.