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Finding the Fourth Proportional to 719.40, 1,078.33 and 458.58

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Solution

The fourth proportional to 719.40, 1,078.33 and 458.58 is: 687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.40 : 1,078.33 = 458.58 : x
  2. Step 2: Convert to fraction form
    719.40/1,078.33 = 458.58/x
  3. Step 3: Cross multiply
    719.40x = 1,078.33 × 458.58
  4. Step 4: Simplify right side
    719.40x = 494,500.57
  5. Step 5: Solve for x
    x = 494,500.57/719.40
  6. Step 6: Final answer
    x = 687.38

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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.