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Finding the Fourth Proportional to 836.06, 1,152.85 and 570.53

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Solution

The fourth proportional to 836.06, 1,152.85 and 570.53 is: 786.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.06 : 1,152.85 = 570.53 : x
  2. Step 2: Convert to fraction form
    836.06/1,152.85 = 570.53/x
  3. Step 3: Cross multiply
    836.06x = 1,152.85 × 570.53
  4. Step 4: Simplify right side
    836.06x = 657,735.51
  5. Step 5: Solve for x
    x = 657,735.51/836.06
  6. Step 6: Final answer
    x = 786.71

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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.