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Finding the Fourth Proportional to 427.04, 637.06 and 415.28

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Solution

The fourth proportional to 427.04, 637.06 and 415.28 is: 619.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.04 : 637.06 = 415.28 : x
  2. Step 2: Convert to fraction form
    427.04/637.06 = 415.28/x
  3. Step 3: Cross multiply
    427.04x = 637.06 × 415.28
  4. Step 4: Simplify right side
    427.04x = 264,558.28
  5. Step 5: Solve for x
    x = 264,558.28/427.04
  6. Step 6: Final answer
    x = 619.52

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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.