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Finding the Fourth Proportional to 803.08, 1,203.74 and 341.10

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Solution

The fourth proportional to 803.08, 1,203.74 and 341.10 is: 511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.08 : 1,203.74 = 341.10 : x
  2. Step 2: Convert to fraction form
    803.08/1,203.74 = 341.10/x
  3. Step 3: Cross multiply
    803.08x = 1,203.74 × 341.10
  4. Step 4: Simplify right side
    803.08x = 410,595.71
  5. Step 5: Solve for x
    x = 410,595.71/803.08
  6. Step 6: Final answer
    x = 511.28

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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.