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Finding the Fourth Proportional to 657.86, 986.52 and 415.58

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Solution

The fourth proportional to 657.86, 986.52 and 415.58 is: 623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.86 : 986.52 = 415.58 : x
  2. Step 2: Convert to fraction form
    657.86/986.52 = 415.58/x
  3. Step 3: Cross multiply
    657.86x = 986.52 × 415.58
  4. Step 4: Simplify right side
    657.86x = 409,977.98
  5. Step 5: Solve for x
    x = 409,977.98/657.86
  6. Step 6: Final answer
    x = 623.20

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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.