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Finding the Fourth Proportional to 570.23, 856.25 and 477.58

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Solution

The fourth proportional to 570.23, 856.25 and 477.58 is: 717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.23 : 856.25 = 477.58 : x
  2. Step 2: Convert to fraction form
    570.23/856.25 = 477.58/x
  3. Step 3: Cross multiply
    570.23x = 856.25 × 477.58
  4. Step 4: Simplify right side
    570.23x = 408,927.88
  5. Step 5: Solve for x
    x = 408,927.88/570.23
  6. Step 6: Final answer
    x = 717.13

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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.