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Finding the Fourth Proportional to 719.62, 1,078.04 and 410.58

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Solution

The fourth proportional to 719.62, 1,078.04 and 410.58 is: 615.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.62 : 1,078.04 = 410.58 : x
  2. Step 2: Convert to fraction form
    719.62/1,078.04 = 410.58/x
  3. Step 3: Cross multiply
    719.62x = 1,078.04 × 410.58
  4. Step 4: Simplify right side
    719.62x = 442,622.69
  5. Step 5: Solve for x
    x = 442,622.69/719.62
  6. Step 6: Final answer
    x = 615.08

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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.