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Finding the Fourth Proportional to 903.12, 1,353.84 and 556.20

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Solution

The fourth proportional to 903.12, 1,353.84 and 556.20 is: 833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.12 : 1,353.84 = 556.20 : x
  2. Step 2: Convert to fraction form
    903.12/1,353.84 = 556.20/x
  3. Step 3: Cross multiply
    903.12x = 1,353.84 × 556.20
  4. Step 4: Simplify right side
    903.12x = 753,005.81
  5. Step 5: Solve for x
    x = 753,005.81/903.12
  6. Step 6: Final answer
    x = 833.78

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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.