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Finding the Fourth Proportional to 830.84, 1,145.97 and 582.08

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Solution

The fourth proportional to 830.84, 1,145.97 and 582.08 is: 802.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.84 : 1,145.97 = 582.08 : x
  2. Step 2: Convert to fraction form
    830.84/1,145.97 = 582.08/x
  3. Step 3: Cross multiply
    830.84x = 1,145.97 × 582.08
  4. Step 4: Simplify right side
    830.84x = 667,040.49
  5. Step 5: Solve for x
    x = 667,040.49/830.84
  6. Step 6: Final answer
    x = 802.86

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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.