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Finding the Fourth Proportional to 600.35, 900.65 and 448.08

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Solution

The fourth proportional to 600.35, 900.65 and 448.08 is: 672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.35 : 900.65 = 448.08 : x
  2. Step 2: Convert to fraction form
    600.35/900.65 = 448.08/x
  3. Step 3: Cross multiply
    600.35x = 900.65 × 448.08
  4. Step 4: Simplify right side
    600.35x = 403,566.06
  5. Step 5: Solve for x
    x = 403,566.06/600.35
  6. Step 6: Final answer
    x = 672.22

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