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Finding the Fourth Proportional to 1,017.81, 1,404.07 and 644.51

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Solution

The fourth proportional to 1,017.81, 1,404.07 and 644.51 is: 889.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.81 : 1,404.07 = 644.51 : x
  2. Step 2: Convert to fraction form
    1,017.81/1,404.07 = 644.51/x
  3. Step 3: Cross multiply
    1,017.81x = 1,404.07 × 644.51
  4. Step 4: Simplify right side
    1,017.81x = 904,939.05
  5. Step 5: Solve for x
    x = 904,939.05/1,017.81
  6. Step 6: Final answer
    x = 889.10

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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.