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Finding the Fourth Proportional to 1,170.57, 1,615.49 and 646.70

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Solution

The fourth proportional to 1,170.57, 1,615.49 and 646.70 is: 892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.57 : 1,615.49 = 646.70 : x
  2. Step 2: Convert to fraction form
    1,170.57/1,615.49 = 646.70/x
  3. Step 3: Cross multiply
    1,170.57x = 1,615.49 × 646.70
  4. Step 4: Simplify right side
    1,170.57x = 1,044,726.07
  5. Step 5: Solve for x
    x = 1,044,726.07/1,170.57
  6. Step 6: Final answer
    x = 892.49

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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.