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Finding the Fourth Proportional to 646.51, 969.90 and 261.76

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Solution

The fourth proportional to 646.51, 969.90 and 261.76 is: 392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.51 : 969.90 = 261.76 : x
  2. Step 2: Convert to fraction form
    646.51/969.90 = 261.76/x
  3. Step 3: Cross multiply
    646.51x = 969.90 × 261.76
  4. Step 4: Simplify right side
    646.51x = 253,881.02
  5. Step 5: Solve for x
    x = 253,881.02/646.51
  6. Step 6: Final answer
    x = 392.69

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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.