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Finding the Fourth Proportional to 594.73, 821.01 and 461.65

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Solution

The fourth proportional to 594.73, 821.01 and 461.65 is: 637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.73 : 821.01 = 461.65 : x
  2. Step 2: Convert to fraction form
    594.73/821.01 = 461.65/x
  3. Step 3: Cross multiply
    594.73x = 821.01 × 461.65
  4. Step 4: Simplify right side
    594.73x = 379,019.27
  5. Step 5: Solve for x
    x = 379,019.27/594.73
  6. Step 6: Final answer
    x = 637.30

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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.