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Finding the Fourth Proportional to 679.28, 1,019.64 and 460.04

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Solution

The fourth proportional to 679.28, 1,019.64 and 460.04 is: 690.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.28 : 1,019.64 = 460.04 : x
  2. Step 2: Convert to fraction form
    679.28/1,019.64 = 460.04/x
  3. Step 3: Cross multiply
    679.28x = 1,019.64 × 460.04
  4. Step 4: Simplify right side
    679.28x = 469,075.19
  5. Step 5: Solve for x
    x = 469,075.19/679.28
  6. Step 6: Final answer
    x = 690.55

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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.