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Finding the Fourth Proportional to 647.17, 968.71 and 510.49

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Solution

The fourth proportional to 647.17, 968.71 and 510.49 is: 764.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.17 : 968.71 = 510.49 : x
  2. Step 2: Convert to fraction form
    647.17/968.71 = 510.49/x
  3. Step 3: Cross multiply
    647.17x = 968.71 × 510.49
  4. Step 4: Simplify right side
    647.17x = 494,512.21
  5. Step 5: Solve for x
    x = 494,512.21/647.17
  6. Step 6: Final answer
    x = 764.11

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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.