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Finding the Fourth Proportional to 949.31, 1,420.77 and 584.36

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Solution

The fourth proportional to 949.31, 1,420.77 and 584.36 is: 874.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.31 : 1,420.77 = 584.36 : x
  2. Step 2: Convert to fraction form
    949.31/1,420.77 = 584.36/x
  3. Step 3: Cross multiply
    949.31x = 1,420.77 × 584.36
  4. Step 4: Simplify right side
    949.31x = 830,241.16
  5. Step 5: Solve for x
    x = 830,241.16/949.31
  6. Step 6: Final answer
    x = 874.57

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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.