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Finding the Fourth Proportional to 948.32, 1,420.96 and 623.44

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Solution

The fourth proportional to 948.32, 1,420.96 and 623.44 is: 934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.32 : 1,420.96 = 623.44 : x
  2. Step 2: Convert to fraction form
    948.32/1,420.96 = 623.44/x
  3. Step 3: Cross multiply
    948.32x = 1,420.96 × 623.44
  4. Step 4: Simplify right side
    948.32x = 885,883.30
  5. Step 5: Solve for x
    x = 885,883.30/948.32
  6. Step 6: Final answer
    x = 934.16

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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.