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Finding the Fourth Proportional to 693.82, 1,041.18 and 304.03

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Solution

The fourth proportional to 693.82, 1,041.18 and 304.03 is: 456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.82 : 1,041.18 = 304.03 : x
  2. Step 2: Convert to fraction form
    693.82/1,041.18 = 304.03/x
  3. Step 3: Cross multiply
    693.82x = 1,041.18 × 304.03
  4. Step 4: Simplify right side
    693.82x = 316,549.96
  5. Step 5: Solve for x
    x = 316,549.96/693.82
  6. Step 6: Final answer
    x = 456.24

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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.