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Finding the Fourth Proportional to 647.17, 970.76 and 359.21

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Solution

The fourth proportional to 647.17, 970.76 and 359.21 is: 538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.17 : 970.76 = 359.21 : x
  2. Step 2: Convert to fraction form
    647.17/970.76 = 359.21/x
  3. Step 3: Cross multiply
    647.17x = 970.76 × 359.21
  4. Step 4: Simplify right side
    647.17x = 348,704.90
  5. Step 5: Solve for x
    x = 348,704.90/647.17
  6. Step 6: Final answer
    x = 538.82

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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.