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Finding the Fourth Proportional to 647.14, 970.16 and 257.41

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Solution

The fourth proportional to 647.14, 970.16 and 257.41 is: 385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.14 : 970.16 = 257.41 : x
  2. Step 2: Convert to fraction form
    647.14/970.16 = 257.41/x
  3. Step 3: Cross multiply
    647.14x = 970.16 × 257.41
  4. Step 4: Simplify right side
    647.14x = 249,727.60
  5. Step 5: Solve for x
    x = 249,727.60/647.14
  6. Step 6: Final answer
    x = 385.90

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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.