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Finding the Fourth Proportional to 673.50, 930.14 and 464.22

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Solution

The fourth proportional to 673.50, 930.14 and 464.22 is: 641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.50 : 930.14 = 464.22 : x
  2. Step 2: Convert to fraction form
    673.50/930.14 = 464.22/x
  3. Step 3: Cross multiply
    673.50x = 930.14 × 464.22
  4. Step 4: Simplify right side
    673.50x = 431,787.27
  5. Step 5: Solve for x
    x = 431,787.27/673.50
  6. Step 6: Final answer
    x = 641.11

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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.