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Finding the Fourth Proportional to 581.36, 873.64 and 419.36

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Solution

The fourth proportional to 581.36, 873.64 and 419.36 is: 630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.36 : 873.64 = 419.36 : x
  2. Step 2: Convert to fraction form
    581.36/873.64 = 419.36/x
  3. Step 3: Cross multiply
    581.36x = 873.64 × 419.36
  4. Step 4: Simplify right side
    581.36x = 366,369.67
  5. Step 5: Solve for x
    x = 366,369.67/581.36
  6. Step 6: Final answer
    x = 630.19

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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.