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Finding the Fourth Proportional to 602.91, 831.20 and 445.64

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Solution

The fourth proportional to 602.91, 831.20 and 445.64 is: 614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.91 : 831.20 = 445.64 : x
  2. Step 2: Convert to fraction form
    602.91/831.20 = 445.64/x
  3. Step 3: Cross multiply
    602.91x = 831.20 × 445.64
  4. Step 4: Simplify right side
    602.91x = 370,409.58
  5. Step 5: Solve for x
    x = 370,409.58/602.91
  6. Step 6: Final answer
    x = 614.37

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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.