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Finding the Fourth Proportional to 900.22, 1,350.48 and 461.76

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Solution

The fourth proportional to 900.22, 1,350.48 and 461.76 is: 692.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.22 : 1,350.48 = 461.76 : x
  2. Step 2: Convert to fraction form
    900.22/1,350.48 = 461.76/x
  3. Step 3: Cross multiply
    900.22x = 1,350.48 × 461.76
  4. Step 4: Simplify right side
    900.22x = 623,597.64
  5. Step 5: Solve for x
    x = 623,597.64/900.22
  6. Step 6: Final answer
    x = 692.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.