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Finding the Fourth Proportional to 683.36, 1,024.80 and 546.08

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Solution

The fourth proportional to 683.36, 1,024.80 and 546.08 is: 818.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.36 : 1,024.80 = 546.08 : x
  2. Step 2: Convert to fraction form
    683.36/1,024.80 = 546.08/x
  3. Step 3: Cross multiply
    683.36x = 1,024.80 × 546.08
  4. Step 4: Simplify right side
    683.36x = 559,622.78
  5. Step 5: Solve for x
    x = 559,622.78/683.36
  6. Step 6: Final answer
    x = 818.93

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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.