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Finding the Fourth Proportional to 460.22, 687.02 and 394.83

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Solution

The fourth proportional to 460.22, 687.02 and 394.83 is: 589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.22 : 687.02 = 394.83 : x
  2. Step 2: Convert to fraction form
    460.22/687.02 = 394.83/x
  3. Step 3: Cross multiply
    460.22x = 687.02 × 394.83
  4. Step 4: Simplify right side
    460.22x = 271,254.13
  5. Step 5: Solve for x
    x = 271,254.13/460.22
  6. Step 6: Final answer
    x = 589.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.