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Finding the Fourth Proportional to 926.05, 1,389.08 and 493.11

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Solution

The fourth proportional to 926.05, 1,389.08 and 493.11 is: 739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.05 : 1,389.08 = 493.11 : x
  2. Step 2: Convert to fraction form
    926.05/1,389.08 = 493.11/x
  3. Step 3: Cross multiply
    926.05x = 1,389.08 × 493.11
  4. Step 4: Simplify right side
    926.05x = 684,969.24
  5. Step 5: Solve for x
    x = 684,969.24/926.05
  6. Step 6: Final answer
    x = 739.67

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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.