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Finding the Fourth Proportional to 833.08, 1,148.34 and 570.64

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Solution

The fourth proportional to 833.08, 1,148.34 and 570.64 is: 786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.08 : 1,148.34 = 570.64 : x
  2. Step 2: Convert to fraction form
    833.08/1,148.34 = 570.64/x
  3. Step 3: Cross multiply
    833.08x = 1,148.34 × 570.64
  4. Step 4: Simplify right side
    833.08x = 655,288.74
  5. Step 5: Solve for x
    x = 655,288.74/833.08
  6. Step 6: Final answer
    x = 786.59

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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.