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Finding the Fourth Proportional to 957.29, 1,321.02 and 584.13

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Solution

The fourth proportional to 957.29, 1,321.02 and 584.13 is: 806.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.29 : 1,321.02 = 584.13 : x
  2. Step 2: Convert to fraction form
    957.29/1,321.02 = 584.13/x
  3. Step 3: Cross multiply
    957.29x = 1,321.02 × 584.13
  4. Step 4: Simplify right side
    957.29x = 771,647.41
  5. Step 5: Solve for x
    x = 771,647.41/957.29
  6. Step 6: Final answer
    x = 806.08

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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.