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Finding the Fourth Proportional to 1,170.59, 1,615.37 and 646.61

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Solution

The fourth proportional to 1,170.59, 1,615.37 and 646.61 is: 892.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.59 : 1,615.37 = 646.61 : x
  2. Step 2: Convert to fraction form
    1,170.59/1,615.37 = 646.61/x
  3. Step 3: Cross multiply
    1,170.59x = 1,615.37 × 646.61
  4. Step 4: Simplify right side
    1,170.59x = 1,044,503.09
  5. Step 5: Solve for x
    x = 1,044,503.09/1,170.59
  6. Step 6: Final answer
    x = 892.29

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1.5x scale

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.