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Finding the Fourth Proportional to 655.86, 983.52 and 412.86

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Solution

The fourth proportional to 655.86, 983.52 and 412.86 is: 619.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.86 : 983.52 = 412.86 : x
  2. Step 2: Convert to fraction form
    655.86/983.52 = 412.86/x
  3. Step 3: Cross multiply
    655.86x = 983.52 × 412.86
  4. Step 4: Simplify right side
    655.86x = 406,056.07
  5. Step 5: Solve for x
    x = 406,056.07/655.86
  6. Step 6: Final answer
    x = 619.12

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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.