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Finding the Fourth Proportional to 570.51, 856.34 and 385.39

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Solution

The fourth proportional to 570.51, 856.34 and 385.39 is: 578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.51 : 856.34 = 385.39 : x
  2. Step 2: Convert to fraction form
    570.51/856.34 = 385.39/x
  3. Step 3: Cross multiply
    570.51x = 856.34 × 385.39
  4. Step 4: Simplify right side
    570.51x = 330,024.87
  5. Step 5: Solve for x
    x = 330,024.87/570.51
  6. Step 6: Final answer
    x = 578.47

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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.