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Finding the Fourth Proportional to 646.70, 970.10 and 184.52

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Solution

The fourth proportional to 646.70, 970.10 and 184.52 is: 276.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.70 : 970.10 = 184.52 : x
  2. Step 2: Convert to fraction form
    646.70/970.10 = 184.52/x
  3. Step 3: Cross multiply
    646.70x = 970.10 × 184.52
  4. Step 4: Simplify right side
    646.70x = 178,999.97
  5. Step 5: Solve for x
    x = 178,999.97/646.70
  6. Step 6: Final answer
    x = 276.79

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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.