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Finding the Fourth Proportional to 890.50, 1,225.98 and 774.02

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Solution

The fourth proportional to 890.50, 1,225.98 and 774.02 is: 1,065.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.50 : 1,225.98 = 774.02 : x
  2. Step 2: Convert to fraction form
    890.50/1,225.98 = 774.02/x
  3. Step 3: Cross multiply
    890.50x = 1,225.98 × 774.02
  4. Step 4: Simplify right side
    890.50x = 948,933.04
  5. Step 5: Solve for x
    x = 948,933.04/890.50
  6. Step 6: Final answer
    x = 1,065.62

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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.