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Finding the Fourth Proportional to 953.71, 1,427.78 and 587.39

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Solution

The fourth proportional to 953.71, 1,427.78 and 587.39 is: 879.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.71 : 1,427.78 = 587.39 : x
  2. Step 2: Convert to fraction form
    953.71/1,427.78 = 587.39/x
  3. Step 3: Cross multiply
    953.71x = 1,427.78 × 587.39
  4. Step 4: Simplify right side
    953.71x = 838,658.02
  5. Step 5: Solve for x
    x = 838,658.02/953.71
  6. Step 6: Final answer
    x = 879.37

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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.