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Finding the Fourth Proportional to 947.19, 1,420.83 and 297.98

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Solution

The fourth proportional to 947.19, 1,420.83 and 297.98 is: 446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.19 : 1,420.83 = 297.98 : x
  2. Step 2: Convert to fraction form
    947.19/1,420.83 = 297.98/x
  3. Step 3: Cross multiply
    947.19x = 1,420.83 × 297.98
  4. Step 4: Simplify right side
    947.19x = 423,371.82
  5. Step 5: Solve for x
    x = 423,371.82/947.19
  6. Step 6: Final answer
    x = 446.98

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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.