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Finding the Fourth Proportional to 1,111.45, 1,664.90 and 623.47

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Solution

The fourth proportional to 1,111.45, 1,664.90 and 623.47 is: 933.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.45 : 1,664.90 = 623.47 : x
  2. Step 2: Convert to fraction form
    1,111.45/1,664.90 = 623.47/x
  3. Step 3: Cross multiply
    1,111.45x = 1,664.90 × 623.47
  4. Step 4: Simplify right side
    1,111.45x = 1,038,021.57
  5. Step 5: Solve for x
    x = 1,038,021.57/1,111.45
  6. Step 6: Final answer
    x = 933.94

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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.