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Finding the Fourth Proportional to 646.71, 970.37 and 235.89

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Solution

The fourth proportional to 646.71, 970.37 and 235.89 is: 353.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.71 : 970.37 = 235.89 : x
  2. Step 2: Convert to fraction form
    646.71/970.37 = 235.89/x
  3. Step 3: Cross multiply
    646.71x = 970.37 × 235.89
  4. Step 4: Simplify right side
    646.71x = 228,899.40
  5. Step 5: Solve for x
    x = 228,899.40/646.71
  6. Step 6: Final answer
    x = 353.94

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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.