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Finding the Fourth Proportional to 570.78, 856.44 and 282.18

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Solution

The fourth proportional to 570.78, 856.44 and 282.18 is: 423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.78 : 856.44 = 282.18 : x
  2. Step 2: Convert to fraction form
    570.78/856.44 = 282.18/x
  3. Step 3: Cross multiply
    570.78x = 856.44 × 282.18
  4. Step 4: Simplify right side
    570.78x = 241,670.24
  5. Step 5: Solve for x
    x = 241,670.24/570.78
  6. Step 6: Final answer
    x = 423.40

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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.