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Finding the Fourth Proportional to 833.52, 1,149.72 and 571.68

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Solution

The fourth proportional to 833.52, 1,149.72 and 571.68 is: 788.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.52 : 1,149.72 = 571.68 : x
  2. Step 2: Convert to fraction form
    833.52/1,149.72 = 571.68/x
  3. Step 3: Cross multiply
    833.52x = 1,149.72 × 571.68
  4. Step 4: Simplify right side
    833.52x = 657,271.93
  5. Step 5: Solve for x
    x = 657,271.93/833.52
  6. Step 6: Final answer
    x = 788.55

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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.