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Finding the Fourth Proportional to 1,170.91, 1,615.77 and 646.98

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Solution

The fourth proportional to 1,170.91, 1,615.77 and 646.98 is: 892.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.91 : 1,615.77 = 646.98 : x
  2. Step 2: Convert to fraction form
    1,170.91/1,615.77 = 646.98/x
  3. Step 3: Cross multiply
    1,170.91x = 1,615.77 × 646.98
  4. Step 4: Simplify right side
    1,170.91x = 1,045,370.87
  5. Step 5: Solve for x
    x = 1,045,370.87/1,170.91
  6. Step 6: Final answer
    x = 892.78

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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.