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Finding the Fourth Proportional to 582.30, 792.90 and 582.30

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Solution

The fourth proportional to 582.30, 792.90 and 582.30 is: 792.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.30 : 792.90 = 582.30 : x
  2. Step 2: Convert to fraction form
    582.30/792.90 = 582.30/x
  3. Step 3: Cross multiply
    582.30x = 792.90 × 582.30
  4. Step 4: Simplify right side
    582.30x = 461,705.67
  5. Step 5: Solve for x
    x = 461,705.67/582.30
  6. Step 6: Final answer
    x = 792.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.