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Finding the Fourth Proportional to 803.48, 1,204.01 and 584.52

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Solution

The fourth proportional to 803.48, 1,204.01 and 584.52 is: 875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.48 : 1,204.01 = 584.52 : x
  2. Step 2: Convert to fraction form
    803.48/1,204.01 = 584.52/x
  3. Step 3: Cross multiply
    803.48x = 1,204.01 × 584.52
  4. Step 4: Simplify right side
    803.48x = 703,767.93
  5. Step 5: Solve for x
    x = 703,767.93/803.48
  6. Step 6: Final answer
    x = 875.90

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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.