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Finding the Fourth Proportional to 717.89, 1,075.41 and 370.80

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Solution

The fourth proportional to 717.89, 1,075.41 and 370.80 is: 555.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.89 : 1,075.41 = 370.80 : x
  2. Step 2: Convert to fraction form
    717.89/1,075.41 = 370.80/x
  3. Step 3: Cross multiply
    717.89x = 1,075.41 × 370.80
  4. Step 4: Simplify right side
    717.89x = 398,762.03
  5. Step 5: Solve for x
    x = 398,762.03/717.89
  6. Step 6: Final answer
    x = 555.47

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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.