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Finding the Fourth Proportional to 651.94, 977.60 and 378.11

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Solution

The fourth proportional to 651.94, 977.60 and 378.11 is: 566.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.94 : 977.60 = 378.11 : x
  2. Step 2: Convert to fraction form
    651.94/977.60 = 378.11/x
  3. Step 3: Cross multiply
    651.94x = 977.60 × 378.11
  4. Step 4: Simplify right side
    651.94x = 369,640.34
  5. Step 5: Solve for x
    x = 369,640.34/651.94
  6. Step 6: Final answer
    x = 566.99

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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.