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Finding the Fourth Proportional to 628.30, 941.77 and 384.99

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Solution

The fourth proportional to 628.30, 941.77 and 384.99 is: 577.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.30 : 941.77 = 384.99 : x
  2. Step 2: Convert to fraction form
    628.30/941.77 = 384.99/x
  3. Step 3: Cross multiply
    628.30x = 941.77 × 384.99
  4. Step 4: Simplify right side
    628.30x = 362,572.03
  5. Step 5: Solve for x
    x = 362,572.03/628.30
  6. Step 6: Final answer
    x = 577.07

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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.