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Finding the Fourth Proportional to 557.53, 768.79 and 468.99

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Solution

The fourth proportional to 557.53, 768.79 and 468.99 is: 646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.53 : 768.79 = 468.99 : x
  2. Step 2: Convert to fraction form
    557.53/768.79 = 468.99/x
  3. Step 3: Cross multiply
    557.53x = 768.79 × 468.99
  4. Step 4: Simplify right side
    557.53x = 360,555.41
  5. Step 5: Solve for x
    x = 360,555.41/557.53
  6. Step 6: Final answer
    x = 646.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.