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Finding the Fourth Proportional to 450.16, 620.68 and 383.76

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Solution

The fourth proportional to 450.16, 620.68 and 383.76 is: 529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.16 : 620.68 = 383.76 : x
  2. Step 2: Convert to fraction form
    450.16/620.68 = 383.76/x
  3. Step 3: Cross multiply
    450.16x = 620.68 × 383.76
  4. Step 4: Simplify right side
    450.16x = 238,192.16
  5. Step 5: Solve for x
    x = 238,192.16/450.16
  6. Step 6: Final answer
    x = 529.13

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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.