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Finding the Fourth Proportional to 1,533.90, 2,301.50 and 803.96

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Solution

The fourth proportional to 1,533.90, 2,301.50 and 803.96 is: 1,206.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.90 : 2,301.50 = 803.96 : x
  2. Step 2: Convert to fraction form
    1,533.90/2,301.50 = 803.96/x
  3. Step 3: Cross multiply
    1,533.90x = 2,301.50 × 803.96
  4. Step 4: Simplify right side
    1,533.90x = 1,850,313.94
  5. Step 5: Solve for x
    x = 1,850,313.94/1,533.90
  6. Step 6: Final answer
    x = 1,206.28

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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.