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Finding the Fourth Proportional to 620.49, 856.17 and 384.48

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Solution

The fourth proportional to 620.49, 856.17 and 384.48 is: 530.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.49 : 856.17 = 384.48 : x
  2. Step 2: Convert to fraction form
    620.49/856.17 = 384.48/x
  3. Step 3: Cross multiply
    620.49x = 856.17 × 384.48
  4. Step 4: Simplify right side
    620.49x = 329,180.24
  5. Step 5: Solve for x
    x = 329,180.24/620.49
  6. Step 6: Final answer
    x = 530.51

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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.