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Finding the Fourth Proportional to 438.75, 653.49 and 415.62

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Solution

The fourth proportional to 438.75, 653.49 and 415.62 is: 619.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.75 : 653.49 = 415.62 : x
  2. Step 2: Convert to fraction form
    438.75/653.49 = 415.62/x
  3. Step 3: Cross multiply
    438.75x = 653.49 × 415.62
  4. Step 4: Simplify right side
    438.75x = 271,603.51
  5. Step 5: Solve for x
    x = 271,603.51/438.75
  6. Step 6: Final answer
    x = 619.04

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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.