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Finding the Fourth Proportional to 646.97, 970.83 and 257.01

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Solution

The fourth proportional to 646.97, 970.83 and 257.01 is: 385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.97 : 970.83 = 257.01 : x
  2. Step 2: Convert to fraction form
    646.97/970.83 = 257.01/x
  3. Step 3: Cross multiply
    646.97x = 970.83 × 257.01
  4. Step 4: Simplify right side
    646.97x = 249,513.02
  5. Step 5: Solve for x
    x = 249,513.02/646.97
  6. Step 6: Final answer
    x = 385.66

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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.