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Finding the Fourth Proportional to 948.16, 1,420.86 and 400.04

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Solution

The fourth proportional to 948.16, 1,420.86 and 400.04 is: 599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.16 : 1,420.86 = 400.04 : x
  2. Step 2: Convert to fraction form
    948.16/1,420.86 = 400.04/x
  3. Step 3: Cross multiply
    948.16x = 1,420.86 × 400.04
  4. Step 4: Simplify right side
    948.16x = 568,400.83
  5. Step 5: Solve for x
    x = 568,400.83/948.16
  6. Step 6: Final answer
    x = 599.48

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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.