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Finding the Fourth Proportional to 948.08, 1,422.47 and 427.92

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Solution

The fourth proportional to 948.08, 1,422.47 and 427.92 is: 642.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.08 : 1,422.47 = 427.92 : x
  2. Step 2: Convert to fraction form
    948.08/1,422.47 = 427.92/x
  3. Step 3: Cross multiply
    948.08x = 1,422.47 × 427.92
  4. Step 4: Simplify right side
    948.08x = 608,703.36
  5. Step 5: Solve for x
    x = 608,703.36/948.08
  6. Step 6: Final answer
    x = 642.04

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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.