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Finding the Fourth Proportional to 948.02, 1,421.12 and 400.68

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Solution

The fourth proportional to 948.02, 1,421.12 and 400.68 is: 600.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.02 : 1,421.12 = 400.68 : x
  2. Step 2: Convert to fraction form
    948.02/1,421.12 = 400.68/x
  3. Step 3: Cross multiply
    948.02x = 1,421.12 × 400.68
  4. Step 4: Simplify right side
    948.02x = 569,414.36
  5. Step 5: Solve for x
    x = 569,414.36/948.02
  6. Step 6: Final answer
    x = 600.64

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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.