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Finding the Fourth Proportional to 957.48, 1,321.50 and 584.46

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Solution

The fourth proportional to 957.48, 1,321.50 and 584.46 is: 806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.48 : 1,321.50 = 584.46 : x
  2. Step 2: Convert to fraction form
    957.48/1,321.50 = 584.46/x
  3. Step 3: Cross multiply
    957.48x = 1,321.50 × 584.46
  4. Step 4: Simplify right side
    957.48x = 772,363.89
  5. Step 5: Solve for x
    x = 772,363.89/957.48
  6. Step 6: Final answer
    x = 806.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.