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Finding the Fourth Proportional to 1,231.70, 1,848.45 and 582.57

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Solution

The fourth proportional to 1,231.70, 1,848.45 and 582.57 is: 874.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.70 : 1,848.45 = 582.57 : x
  2. Step 2: Convert to fraction form
    1,231.70/1,848.45 = 582.57/x
  3. Step 3: Cross multiply
    1,231.70x = 1,848.45 × 582.57
  4. Step 4: Simplify right side
    1,231.70x = 1,076,851.52
  5. Step 5: Solve for x
    x = 1,076,851.52/1,231.70
  6. Step 6: Final answer
    x = 874.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.