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Finding the Fourth Proportional to 957.15, 1,320.86 and 584.15

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Solution

The fourth proportional to 957.15, 1,320.86 and 584.15 is: 806.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.15 : 1,320.86 = 584.15 : x
  2. Step 2: Convert to fraction form
    957.15/1,320.86 = 584.15/x
  3. Step 3: Cross multiply
    957.15x = 1,320.86 × 584.15
  4. Step 4: Simplify right side
    957.15x = 771,570.84
  5. Step 5: Solve for x
    x = 771,570.84/957.15
  6. Step 6: Final answer
    x = 806.11

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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.