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Finding the Fourth Proportional to 620.67, 856.17 and 384.51

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Solution

The fourth proportional to 620.67, 856.17 and 384.51 is: 530.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.67 : 856.17 = 384.51 : x
  2. Step 2: Convert to fraction form
    620.67/856.17 = 384.51/x
  3. Step 3: Cross multiply
    620.67x = 856.17 × 384.51
  4. Step 4: Simplify right side
    620.67x = 329,205.93
  5. Step 5: Solve for x
    x = 329,205.93/620.67
  6. Step 6: Final answer
    x = 530.40

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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.