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Finding the Fourth Proportional to 683.16, 1,023.12 and 537.36

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Solution

The fourth proportional to 683.16, 1,023.12 and 537.36 is: 804.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.16 : 1,023.12 = 537.36 : x
  2. Step 2: Convert to fraction form
    683.16/1,023.12 = 537.36/x
  3. Step 3: Cross multiply
    683.16x = 1,023.12 × 537.36
  4. Step 4: Simplify right side
    683.16x = 549,783.76
  5. Step 5: Solve for x
    x = 549,783.76/683.16
  6. Step 6: Final answer
    x = 804.77

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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.