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Finding the Fourth Proportional to 948.02, 1,305.65 and 875.12

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Solution

The fourth proportional to 948.02, 1,305.65 and 875.12 is: 1,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.02 : 1,305.65 = 875.12 : x
  2. Step 2: Convert to fraction form
    948.02/1,305.65 = 875.12/x
  3. Step 3: Cross multiply
    948.02x = 1,305.65 × 875.12
  4. Step 4: Simplify right side
    948.02x = 1,142,596.09
  5. Step 5: Solve for x
    x = 1,142,596.09/948.02
  6. Step 6: Final answer
    x = 1,205.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.