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Finding the Fourth Proportional to 647.06, 970.16 and 338.54

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Solution

The fourth proportional to 647.06, 970.16 and 338.54 is: 507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.06 : 970.16 = 338.54 : x
  2. Step 2: Convert to fraction form
    647.06/970.16 = 338.54/x
  3. Step 3: Cross multiply
    647.06x = 970.16 × 338.54
  4. Step 4: Simplify right side
    647.06x = 328,437.97
  5. Step 5: Solve for x
    x = 328,437.97/647.06
  6. Step 6: Final answer
    x = 507.59

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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.