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Finding the Fourth Proportional to 602.93, 831.77 and 416.12

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Solution

The fourth proportional to 602.93, 831.77 and 416.12 is: 574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.93 : 831.77 = 416.12 : x
  2. Step 2: Convert to fraction form
    602.93/831.77 = 416.12/x
  3. Step 3: Cross multiply
    602.93x = 831.77 × 416.12
  4. Step 4: Simplify right side
    602.93x = 346,109.89
  5. Step 5: Solve for x
    x = 346,109.89/602.93
  6. Step 6: Final answer
    x = 574.05

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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.