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Finding the Fourth Proportional to 751.49, 1,127.43 and 289.22

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Solution

The fourth proportional to 751.49, 1,127.43 and 289.22 is: 433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.49 : 1,127.43 = 289.22 : x
  2. Step 2: Convert to fraction form
    751.49/1,127.43 = 289.22/x
  3. Step 3: Cross multiply
    751.49x = 1,127.43 × 289.22
  4. Step 4: Simplify right side
    751.49x = 326,075.30
  5. Step 5: Solve for x
    x = 326,075.30/751.49
  6. Step 6: Final answer
    x = 433.91

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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.