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Finding the Fourth Proportional to 602.51, 901.62 and 438.17

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Solution

The fourth proportional to 602.51, 901.62 and 438.17 is: 655.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.51 : 901.62 = 438.17 : x
  2. Step 2: Convert to fraction form
    602.51/901.62 = 438.17/x
  3. Step 3: Cross multiply
    602.51x = 901.62 × 438.17
  4. Step 4: Simplify right side
    602.51x = 395,058.33
  5. Step 5: Solve for x
    x = 395,058.33/602.51
  6. Step 6: Final answer
    x = 655.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.