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Finding the Fourth Proportional to 647.06, 968.96 and 402.84

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Solution

The fourth proportional to 647.06, 968.96 and 402.84 is: 603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.06 : 968.96 = 402.84 : x
  2. Step 2: Convert to fraction form
    647.06/968.96 = 402.84/x
  3. Step 3: Cross multiply
    647.06x = 968.96 × 402.84
  4. Step 4: Simplify right side
    647.06x = 390,336.85
  5. Step 5: Solve for x
    x = 390,336.85/647.06
  6. Step 6: Final answer
    x = 603.25

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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.