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Finding the Fourth Proportional to 779.43, 1,075.28 and 468.75

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Solution

The fourth proportional to 779.43, 1,075.28 and 468.75 is: 646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.43 : 1,075.28 = 468.75 : x
  2. Step 2: Convert to fraction form
    779.43/1,075.28 = 468.75/x
  3. Step 3: Cross multiply
    779.43x = 1,075.28 × 468.75
  4. Step 4: Simplify right side
    779.43x = 504,035.16
  5. Step 5: Solve for x
    x = 504,035.16/779.43
  6. Step 6: Final answer
    x = 646.67

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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.