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Finding the Fourth Proportional to 620.16, 856.02 and 410.52

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Solution

The fourth proportional to 620.16, 856.02 and 410.52 is: 566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.16 : 856.02 = 410.52 : x
  2. Step 2: Convert to fraction form
    620.16/856.02 = 410.52/x
  3. Step 3: Cross multiply
    620.16x = 856.02 × 410.52
  4. Step 4: Simplify right side
    620.16x = 351,411.28
  5. Step 5: Solve for x
    x = 351,411.28/620.16
  6. Step 6: Final answer
    x = 566.65

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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.