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Finding the Fourth Proportional to 651.58, 975.66 and 445.84

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Solution

The fourth proportional to 651.58, 975.66 and 445.84 is: 667.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.58 : 975.66 = 445.84 : x
  2. Step 2: Convert to fraction form
    651.58/975.66 = 445.84/x
  3. Step 3: Cross multiply
    651.58x = 975.66 × 445.84
  4. Step 4: Simplify right side
    651.58x = 434,988.25
  5. Step 5: Solve for x
    x = 434,988.25/651.58
  6. Step 6: Final answer
    x = 667.59

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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.