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Finding the Fourth Proportional to 646.72, 970.46 and 256.76

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Solution

The fourth proportional to 646.72, 970.46 and 256.76 is: 385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.72 : 970.46 = 256.76 : x
  2. Step 2: Convert to fraction form
    646.72/970.46 = 256.76/x
  3. Step 3: Cross multiply
    646.72x = 970.46 × 256.76
  4. Step 4: Simplify right side
    646.72x = 249,175.31
  5. Step 5: Solve for x
    x = 249,175.31/646.72
  6. Step 6: Final answer
    x = 385.29

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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.