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Finding the Fourth Proportional to 930.76, 1,396.01 and 353.50

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Solution

The fourth proportional to 930.76, 1,396.01 and 353.50 is: 530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.76 : 1,396.01 = 353.50 : x
  2. Step 2: Convert to fraction form
    930.76/1,396.01 = 353.50/x
  3. Step 3: Cross multiply
    930.76x = 1,396.01 × 353.50
  4. Step 4: Simplify right side
    930.76x = 493,487.77
  5. Step 5: Solve for x
    x = 493,487.77/930.76
  6. Step 6: Final answer
    x = 530.20

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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.