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Finding the Fourth Proportional to 683.32, 1,024.95 and 407.57

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Solution

The fourth proportional to 683.32, 1,024.95 and 407.57 is: 611.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.32 : 1,024.95 = 407.57 : x
  2. Step 2: Convert to fraction form
    683.32/1,024.95 = 407.57/x
  3. Step 3: Cross multiply
    683.32x = 1,024.95 × 407.57
  4. Step 4: Simplify right side
    683.32x = 417,738.87
  5. Step 5: Solve for x
    x = 417,738.87/683.32
  6. Step 6: Final answer
    x = 611.34

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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.