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Finding the Fourth Proportional to 947.05, 1,420.74 and 536.99

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Solution

The fourth proportional to 947.05, 1,420.74 and 536.99 is: 805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.05 : 1,420.74 = 536.99 : x
  2. Step 2: Convert to fraction form
    947.05/1,420.74 = 536.99/x
  3. Step 3: Cross multiply
    947.05x = 1,420.74 × 536.99
  4. Step 4: Simplify right side
    947.05x = 762,920.49
  5. Step 5: Solve for x
    x = 762,920.49/947.05
  6. Step 6: Final answer
    x = 805.58

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Double scale
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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.