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Finding the Fourth Proportional to 647.68, 970.43 and 454.96

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Solution

The fourth proportional to 647.68, 970.43 and 454.96 is: 681.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.68 : 970.43 = 454.96 : x
  2. Step 2: Convert to fraction form
    647.68/970.43 = 454.96/x
  3. Step 3: Cross multiply
    647.68x = 970.43 × 454.96
  4. Step 4: Simplify right side
    647.68x = 441,503.12
  5. Step 5: Solve for x
    x = 441,503.12/647.68
  6. Step 6: Final answer
    x = 681.67

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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.