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Finding the Fourth Proportional to 647.17, 970.77 and 208.46

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Solution

The fourth proportional to 647.17, 970.77 and 208.46 is: 312.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.17 : 970.77 = 208.46 : x
  2. Step 2: Convert to fraction form
    647.17/970.77 = 208.46/x
  3. Step 3: Cross multiply
    647.17x = 970.77 × 208.46
  4. Step 4: Simplify right side
    647.17x = 202,366.71
  5. Step 5: Solve for x
    x = 202,366.71/647.17
  6. Step 6: Final answer
    x = 312.69

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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.