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Finding the Fourth Proportional to 570, 786.40 and 333.86

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Solution

The fourth proportional to 570, 786.40 and 333.86 is: 460.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    570 : 786.40 = 333.86 : x
  2. Step 2: Convert to fraction form
    570/786.40 = 333.86/x
  3. Step 3: Cross multiply
    570x = 786.40 × 333.86
  4. Step 4: Simplify right side
    570x = 262,547.50
  5. Step 5: Solve for x
    x = 262,547.50/570
  6. Step 6: Final answer
    x = 460.61

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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.