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Finding the Fourth Proportional to 816.01, 1,223.83 and 328.93

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Solution

The fourth proportional to 816.01, 1,223.83 and 328.93 is: 493.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.01 : 1,223.83 = 328.93 : x
  2. Step 2: Convert to fraction form
    816.01/1,223.83 = 328.93/x
  3. Step 3: Cross multiply
    816.01x = 1,223.83 × 328.93
  4. Step 4: Simplify right side
    816.01x = 402,554.40
  5. Step 5: Solve for x
    x = 402,554.40/816.01
  6. Step 6: Final answer
    x = 493.32

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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.