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Finding the Fourth Proportional to 509.76, 704.16 and 372.48

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Solution

The fourth proportional to 509.76, 704.16 and 372.48 is: 514.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.76 : 704.16 = 372.48 : x
  2. Step 2: Convert to fraction form
    509.76/704.16 = 372.48/x
  3. Step 3: Cross multiply
    509.76x = 704.16 × 372.48
  4. Step 4: Simplify right side
    509.76x = 262,285.52
  5. Step 5: Solve for x
    x = 262,285.52/509.76
  6. Step 6: Final answer
    x = 514.53

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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.