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Finding the Fourth Proportional to 921.58, 1,383.78 and 875.21

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Solution

The fourth proportional to 921.58, 1,383.78 and 875.21 is: 1,314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.58 : 1,383.78 = 875.21 : x
  2. Step 2: Convert to fraction form
    921.58/1,383.78 = 875.21/x
  3. Step 3: Cross multiply
    921.58x = 1,383.78 × 875.21
  4. Step 4: Simplify right side
    921.58x = 1,211,094.46
  5. Step 5: Solve for x
    x = 1,211,094.46/921.58
  6. Step 6: Final answer
    x = 1,314.15

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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.