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Finding the Fourth Proportional to 647.38, 971.25 and 359.02

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Solution

The fourth proportional to 647.38, 971.25 and 359.02 is: 538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.38 : 971.25 = 359.02 : x
  2. Step 2: Convert to fraction form
    647.38/971.25 = 359.02/x
  3. Step 3: Cross multiply
    647.38x = 971.25 × 359.02
  4. Step 4: Simplify right side
    647.38x = 348,698.18
  5. Step 5: Solve for x
    x = 348,698.18/647.38
  6. Step 6: Final answer
    x = 538.63

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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.