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Finding the Fourth Proportional to 890.10, 1,228.23 and 496.98

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Solution

The fourth proportional to 890.10, 1,228.23 and 496.98 is: 685.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.10 : 1,228.23 = 496.98 : x
  2. Step 2: Convert to fraction form
    890.10/1,228.23 = 496.98/x
  3. Step 3: Cross multiply
    890.10x = 1,228.23 × 496.98
  4. Step 4: Simplify right side
    890.10x = 610,405.75
  5. Step 5: Solve for x
    x = 610,405.75/890.10
  6. Step 6: Final answer
    x = 685.77

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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.