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Finding the Fourth Proportional to 673.87, 930.11 and 412.11

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Solution

The fourth proportional to 673.87, 930.11 and 412.11 is: 568.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.87 : 930.11 = 412.11 : x
  2. Step 2: Convert to fraction form
    673.87/930.11 = 412.11/x
  3. Step 3: Cross multiply
    673.87x = 930.11 × 412.11
  4. Step 4: Simplify right side
    673.87x = 383,307.63
  5. Step 5: Solve for x
    x = 383,307.63/673.87
  6. Step 6: Final answer
    x = 568.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.