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Finding the Fourth Proportional to 719.90, 1,078.93 and 459.82

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Solution

The fourth proportional to 719.90, 1,078.93 and 459.82 is: 689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.90 : 1,078.93 = 459.82 : x
  2. Step 2: Convert to fraction form
    719.90/1,078.93 = 459.82/x
  3. Step 3: Cross multiply
    719.90x = 1,078.93 × 459.82
  4. Step 4: Simplify right side
    719.90x = 496,109.75
  5. Step 5: Solve for x
    x = 496,109.75/719.90
  6. Step 6: Final answer
    x = 689.14

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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.