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Finding the Fourth Proportional to 682.60, 1,024.08 and 477.40

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Solution

The fourth proportional to 682.60, 1,024.08 and 477.40 is: 716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.60 : 1,024.08 = 477.40 : x
  2. Step 2: Convert to fraction form
    682.60/1,024.08 = 477.40/x
  3. Step 3: Cross multiply
    682.60x = 1,024.08 × 477.40
  4. Step 4: Simplify right side
    682.60x = 488,895.79
  5. Step 5: Solve for x
    x = 488,895.79/682.60
  6. Step 6: Final answer
    x = 716.23

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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.