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Finding the Fourth Proportional to 833.36, 1,151.16 and 570.92

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Solution

The fourth proportional to 833.36, 1,151.16 and 570.92 is: 788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.36 : 1,151.16 = 570.92 : x
  2. Step 2: Convert to fraction form
    833.36/1,151.16 = 570.92/x
  3. Step 3: Cross multiply
    833.36x = 1,151.16 × 570.92
  4. Step 4: Simplify right side
    833.36x = 657,220.27
  5. Step 5: Solve for x
    x = 657,220.27/833.36
  6. Step 6: Final answer
    x = 788.64

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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.