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Finding the Fourth Proportional to 1,444.51, 2,166.96 and 578.75

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Solution

The fourth proportional to 1,444.51, 2,166.96 and 578.75 is: 868.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.51 : 2,166.96 = 578.75 : x
  2. Step 2: Convert to fraction form
    1,444.51/2,166.96 = 578.75/x
  3. Step 3: Cross multiply
    1,444.51x = 2,166.96 × 578.75
  4. Step 4: Simplify right side
    1,444.51x = 1,254,128.10
  5. Step 5: Solve for x
    x = 1,254,128.10/1,444.51
  6. Step 6: Final answer
    x = 868.21

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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.