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Finding the Fourth Proportional to 602.11, 831.30 and 538.98

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Solution

The fourth proportional to 602.11, 831.30 and 538.98 is: 744.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.11 : 831.30 = 538.98 : x
  2. Step 2: Convert to fraction form
    602.11/831.30 = 538.98/x
  3. Step 3: Cross multiply
    602.11x = 831.30 × 538.98
  4. Step 4: Simplify right side
    602.11x = 448,056.64
  5. Step 5: Solve for x
    x = 448,056.64/602.11
  6. Step 6: Final answer
    x = 744.14

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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.