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Finding the Fourth Proportional to 947.70, 1,419.98 and 577.58

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Solution

The fourth proportional to 947.70, 1,419.98 and 577.58 is: 865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.70 : 1,419.98 = 577.58 : x
  2. Step 2: Convert to fraction form
    947.70/1,419.98 = 577.58/x
  3. Step 3: Cross multiply
    947.70x = 1,419.98 × 577.58
  4. Step 4: Simplify right side
    947.70x = 820,152.05
  5. Step 5: Solve for x
    x = 820,152.05/947.70
  6. Step 6: Final answer
    x = 865.41

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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.