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Finding the Fourth Proportional to 620.10, 856.55 and 502.51

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Solution

The fourth proportional to 620.10, 856.55 and 502.51 is: 694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.10 : 856.55 = 502.51 : x
  2. Step 2: Convert to fraction form
    620.10/856.55 = 502.51/x
  3. Step 3: Cross multiply
    620.10x = 856.55 × 502.51
  4. Step 4: Simplify right side
    620.10x = 430,424.94
  5. Step 5: Solve for x
    x = 430,424.94/620.10
  6. Step 6: Final answer
    x = 694.12

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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.