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Finding the Fourth Proportional to 460.96, 689.44 and 383.20

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Solution

The fourth proportional to 460.96, 689.44 and 383.20 is: 573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.96 : 689.44 = 383.20 : x
  2. Step 2: Convert to fraction form
    460.96/689.44 = 383.20/x
  3. Step 3: Cross multiply
    460.96x = 689.44 × 383.20
  4. Step 4: Simplify right side
    460.96x = 264,193.41
  5. Step 5: Solve for x
    x = 264,193.41/460.96
  6. Step 6: Final answer
    x = 573.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.