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Finding the Fourth Proportional to 536.71, 740.04 and 438.16

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Solution

The fourth proportional to 536.71, 740.04 and 438.16 is: 604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.71 : 740.04 = 438.16 : x
  2. Step 2: Convert to fraction form
    536.71/740.04 = 438.16/x
  3. Step 3: Cross multiply
    536.71x = 740.04 × 438.16
  4. Step 4: Simplify right side
    536.71x = 324,255.93
  5. Step 5: Solve for x
    x = 324,255.93/536.71
  6. Step 6: Final answer
    x = 604.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.