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Finding the Fourth Proportional to 783.32, 1,174.98 and 350.45

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Solution

The fourth proportional to 783.32, 1,174.98 and 350.45 is: 525.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.32 : 1,174.98 = 350.45 : x
  2. Step 2: Convert to fraction form
    783.32/1,174.98 = 350.45/x
  3. Step 3: Cross multiply
    783.32x = 1,174.98 × 350.45
  4. Step 4: Simplify right side
    783.32x = 411,765.87
  5. Step 5: Solve for x
    x = 411,765.87/783.32
  6. Step 6: Final answer
    x = 525.67

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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.