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Finding the Fourth Proportional to 693.54, 1,038.99 and 519.32

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Solution

The fourth proportional to 693.54, 1,038.99 and 519.32 is: 777.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.54 : 1,038.99 = 519.32 : x
  2. Step 2: Convert to fraction form
    693.54/1,038.99 = 519.32/x
  3. Step 3: Cross multiply
    693.54x = 1,038.99 × 519.32
  4. Step 4: Simplify right side
    693.54x = 539,568.29
  5. Step 5: Solve for x
    x = 539,568.29/693.54
  6. Step 6: Final answer
    x = 777.99

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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.