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Finding the Fourth Proportional to 1,313.50, 1,968.90 and 582.34

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Solution

The fourth proportional to 1,313.50, 1,968.90 and 582.34 is: 872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.50 : 1,968.90 = 582.34 : x
  2. Step 2: Convert to fraction form
    1,313.50/1,968.90 = 582.34/x
  3. Step 3: Cross multiply
    1,313.50x = 1,968.90 × 582.34
  4. Step 4: Simplify right side
    1,313.50x = 1,146,569.23
  5. Step 5: Solve for x
    x = 1,146,569.23/1,313.50
  6. Step 6: Final answer
    x = 872.91

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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.