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Finding the Fourth Proportional to 693.12, 1,038.24 and 328.20

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Solution

The fourth proportional to 693.12, 1,038.24 and 328.20 is: 491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.12 : 1,038.24 = 328.20 : x
  2. Step 2: Convert to fraction form
    693.12/1,038.24 = 328.20/x
  3. Step 3: Cross multiply
    693.12x = 1,038.24 × 328.20
  4. Step 4: Simplify right side
    693.12x = 340,750.37
  5. Step 5: Solve for x
    x = 340,750.37/693.12
  6. Step 6: Final answer
    x = 491.62

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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.