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Finding the Fourth Proportional to 424.94, 633.08 and 404.29

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Solution

The fourth proportional to 424.94, 633.08 and 404.29 is: 602.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.94 : 633.08 = 404.29 : x
  2. Step 2: Convert to fraction form
    424.94/633.08 = 404.29/x
  3. Step 3: Cross multiply
    424.94x = 633.08 × 404.29
  4. Step 4: Simplify right side
    424.94x = 255,947.34
  5. Step 5: Solve for x
    x = 255,947.34/424.94
  6. Step 6: Final answer
    x = 602.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.