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Finding the Fourth Proportional to 437.42, 652.28 and 415.89

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Solution

The fourth proportional to 437.42, 652.28 and 415.89 is: 620.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.42 : 652.28 = 415.89 : x
  2. Step 2: Convert to fraction form
    437.42/652.28 = 415.89/x
  3. Step 3: Cross multiply
    437.42x = 652.28 × 415.89
  4. Step 4: Simplify right side
    437.42x = 271,274.65
  5. Step 5: Solve for x
    x = 271,274.65/437.42
  6. Step 6: Final answer
    x = 620.17

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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.