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Finding the Fourth Proportional to 438.26, 653.17 and 437.58

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Solution

The fourth proportional to 438.26, 653.17 and 437.58 is: 652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.26 : 653.17 = 437.58 : x
  2. Step 2: Convert to fraction form
    438.26/653.17 = 437.58/x
  3. Step 3: Cross multiply
    438.26x = 653.17 × 437.58
  4. Step 4: Simplify right side
    438.26x = 285,814.13
  5. Step 5: Solve for x
    x = 285,814.13/438.26
  6. Step 6: Final answer
    x = 652.16

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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.