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Finding the Fourth Proportional to 683.03, 1,023.30 and 477.20

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Solution

The fourth proportional to 683.03, 1,023.30 and 477.20 is: 714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.03 : 1,023.30 = 477.20 : x
  2. Step 2: Convert to fraction form
    683.03/1,023.30 = 477.20/x
  3. Step 3: Cross multiply
    683.03x = 1,023.30 × 477.20
  4. Step 4: Simplify right side
    683.03x = 488,313.64
  5. Step 5: Solve for x
    x = 488,313.64/683.03
  6. Step 6: Final answer
    x = 714.93

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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.