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Finding the Fourth Proportional to 768.00, 1,059.53 and 472.75

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Solution

The fourth proportional to 768.00, 1,059.53 and 472.75 is: 652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.00 : 1,059.53 = 472.75 : x
  2. Step 2: Convert to fraction form
    768.00/1,059.53 = 472.75/x
  3. Step 3: Cross multiply
    768.00x = 1,059.53 × 472.75
  4. Step 4: Simplify right side
    768.00x = 500,895.67
  5. Step 5: Solve for x
    x = 500,895.67/768.00
  6. Step 6: Final answer
    x = 652.21

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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.