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Finding the Fourth Proportional to 647.45, 971.03 and 214.50

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Solution

The fourth proportional to 647.45, 971.03 and 214.50 is: 321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.45 : 971.03 = 214.50 : x
  2. Step 2: Convert to fraction form
    647.45/971.03 = 214.50/x
  3. Step 3: Cross multiply
    647.45x = 971.03 × 214.50
  4. Step 4: Simplify right side
    647.45x = 208,284.86
  5. Step 5: Solve for x
    x = 208,284.86/647.45
  6. Step 6: Final answer
    x = 321.70

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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.