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Finding the Fourth Proportional to 900.96, 1,350.96 and 406.80

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Solution

The fourth proportional to 900.96, 1,350.96 and 406.80 is: 609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.96 : 1,350.96 = 406.80 : x
  2. Step 2: Convert to fraction form
    900.96/1,350.96 = 406.80/x
  3. Step 3: Cross multiply
    900.96x = 1,350.96 × 406.80
  4. Step 4: Simplify right side
    900.96x = 549,570.53
  5. Step 5: Solve for x
    x = 549,570.53/900.96
  6. Step 6: Final answer
    x = 609.98

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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.