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Finding the Fourth Proportional to 957.14, 1,320.72 and 584.28

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Solution

The fourth proportional to 957.14, 1,320.72 and 584.28 is: 806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.14 : 1,320.72 = 584.28 : x
  2. Step 2: Convert to fraction form
    957.14/1,320.72 = 584.28/x
  3. Step 3: Cross multiply
    957.14x = 1,320.72 × 584.28
  4. Step 4: Simplify right side
    957.14x = 771,670.28
  5. Step 5: Solve for x
    x = 771,670.28/957.14
  6. Step 6: Final answer
    x = 806.23

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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.