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Finding the Fourth Proportional to 984.16, 1,357.84 and 570.08

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Solution

The fourth proportional to 984.16, 1,357.84 and 570.08 is: 786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.16 : 1,357.84 = 570.08 : x
  2. Step 2: Convert to fraction form
    984.16/1,357.84 = 570.08/x
  3. Step 3: Cross multiply
    984.16x = 1,357.84 × 570.08
  4. Step 4: Simplify right side
    984.16x = 774,077.43
  5. Step 5: Solve for x
    x = 774,077.43/984.16
  6. Step 6: Final answer
    x = 786.54

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