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Finding the Fourth Proportional to 1,063.85, 1,594.32 and 803.64

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Solution

The fourth proportional to 1,063.85, 1,594.32 and 803.64 is: 1,204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.85 : 1,594.32 = 803.64 : x
  2. Step 2: Convert to fraction form
    1,063.85/1,594.32 = 803.64/x
  3. Step 3: Cross multiply
    1,063.85x = 1,594.32 × 803.64
  4. Step 4: Simplify right side
    1,063.85x = 1,281,253.35
  5. Step 5: Solve for x
    x = 1,281,253.35/1,063.85
  6. Step 6: Final answer
    x = 1,204.36

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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.