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Finding the Fourth Proportional to 1,170.89, 1,615.80 and 646.91

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Solution

The fourth proportional to 1,170.89, 1,615.80 and 646.91 is: 892.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.89 : 1,615.80 = 646.91 : x
  2. Step 2: Convert to fraction form
    1,170.89/1,615.80 = 646.91/x
  3. Step 3: Cross multiply
    1,170.89x = 1,615.80 × 646.91
  4. Step 4: Simplify right side
    1,170.89x = 1,045,277.18
  5. Step 5: Solve for x
    x = 1,045,277.18/1,170.89
  6. Step 6: Final answer
    x = 892.72

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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.