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Finding the Fourth Proportional to 1,148.63, 1,585.24 and 644.62

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Solution

The fourth proportional to 1,148.63, 1,585.24 and 644.62 is: 889.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.63 : 1,585.24 = 644.62 : x
  2. Step 2: Convert to fraction form
    1,148.63/1,585.24 = 644.62/x
  3. Step 3: Cross multiply
    1,148.63x = 1,585.24 × 644.62
  4. Step 4: Simplify right side
    1,148.63x = 1,021,874.19
  5. Step 5: Solve for x
    x = 1,021,874.19/1,148.63
  6. Step 6: Final answer
    x = 889.65

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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.