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Finding the Fourth Proportional to 602.12, 831.24 and 406.66

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Solution

The fourth proportional to 602.12, 831.24 and 406.66 is: 561.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.12 : 831.24 = 406.66 : x
  2. Step 2: Convert to fraction form
    602.12/831.24 = 406.66/x
  3. Step 3: Cross multiply
    602.12x = 831.24 × 406.66
  4. Step 4: Simplify right side
    602.12x = 338,032.06
  5. Step 5: Solve for x
    x = 338,032.06/602.12
  6. Step 6: Final answer
    x = 561.40

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1.5x scale

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.