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Finding the Fourth Proportional to 647.76, 970.52 and 464.88

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Solution

The fourth proportional to 647.76, 970.52 and 464.88 is: 696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.76 : 970.52 = 464.88 : x
  2. Step 2: Convert to fraction form
    647.76/970.52 = 464.88/x
  3. Step 3: Cross multiply
    647.76x = 970.52 × 464.88
  4. Step 4: Simplify right side
    647.76x = 451,175.34
  5. Step 5: Solve for x
    x = 451,175.34/647.76
  6. Step 6: Final answer
    x = 696.52

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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.