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Finding the Fourth Proportional to 651.40, 974.66 and 377.62

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Solution

The fourth proportional to 651.40, 974.66 and 377.62 is: 565.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.40 : 974.66 = 377.62 : x
  2. Step 2: Convert to fraction form
    651.40/974.66 = 377.62/x
  3. Step 3: Cross multiply
    651.40x = 974.66 × 377.62
  4. Step 4: Simplify right side
    651.40x = 368,046.24
  5. Step 5: Solve for x
    x = 368,046.24/651.40
  6. Step 6: Final answer
    x = 565.01

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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.