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Finding the Fourth Proportional to 947.76, 1,417.86 and 673.98

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Solution

The fourth proportional to 947.76, 1,417.86 and 673.98 is: 1,008.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.76 : 1,417.86 = 673.98 : x
  2. Step 2: Convert to fraction form
    947.76/1,417.86 = 673.98/x
  3. Step 3: Cross multiply
    947.76x = 1,417.86 × 673.98
  4. Step 4: Simplify right side
    947.76x = 955,609.28
  5. Step 5: Solve for x
    x = 955,609.28/947.76
  6. Step 6: Final answer
    x = 1,008.28

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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.