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Finding the Fourth Proportional to 570.86, 786.63 and 393.88

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Solution

The fourth proportional to 570.86, 786.63 and 393.88 is: 542.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.86 : 786.63 = 393.88 : x
  2. Step 2: Convert to fraction form
    570.86/786.63 = 393.88/x
  3. Step 3: Cross multiply
    570.86x = 786.63 × 393.88
  4. Step 4: Simplify right side
    570.86x = 309,831.92
  5. Step 5: Solve for x
    x = 309,831.92/570.86
  6. Step 6: Final answer
    x = 542.75

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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.