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Finding the Fourth Proportional to 570.41, 856.22 and 463.49

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Solution

The fourth proportional to 570.41, 856.22 and 463.49 is: 695.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.41 : 856.22 = 463.49 : x
  2. Step 2: Convert to fraction form
    570.41/856.22 = 463.49/x
  3. Step 3: Cross multiply
    570.41x = 856.22 × 463.49
  4. Step 4: Simplify right side
    570.41x = 396,842.81
  5. Step 5: Solve for x
    x = 396,842.81/570.41
  6. Step 6: Final answer
    x = 695.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.