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Finding the Fourth Proportional to 460.92, 633.39 and 383.16

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Solution

The fourth proportional to 460.92, 633.39 and 383.16 is: 526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.92 : 633.39 = 383.16 : x
  2. Step 2: Convert to fraction form
    460.92/633.39 = 383.16/x
  3. Step 3: Cross multiply
    460.92x = 633.39 × 383.16
  4. Step 4: Simplify right side
    460.92x = 242,689.71
  5. Step 5: Solve for x
    x = 242,689.71/460.92
  6. Step 6: Final answer
    x = 526.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.