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Finding the Fourth Proportional to 420.10, 625.82 and 407.36

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Solution

The fourth proportional to 420.10, 625.82 and 407.36 is: 606.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.10 : 625.82 = 407.36 : x
  2. Step 2: Convert to fraction form
    420.10/625.82 = 407.36/x
  3. Step 3: Cross multiply
    420.10x = 625.82 × 407.36
  4. Step 4: Simplify right side
    420.10x = 254,934.04
  5. Step 5: Solve for x
    x = 254,934.04/420.10
  6. Step 6: Final answer
    x = 606.84

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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.