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Finding the Fourth Proportional to 570, 786.96 and 383.68

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Solution

The fourth proportional to 570, 786.96 and 383.68 is: 529.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    570 : 786.96 = 383.68 : x
  2. Step 2: Convert to fraction form
    570/786.96 = 383.68/x
  3. Step 3: Cross multiply
    570x = 786.96 × 383.68
  4. Step 4: Simplify right side
    570x = 301,940.81
  5. Step 5: Solve for x
    x = 301,940.81/570
  6. Step 6: Final answer
    x = 529.72

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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.