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Finding the Fourth Proportional to 729.96, 1,007.40 and 419.46

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Solution

The fourth proportional to 729.96, 1,007.40 and 419.46 is: 578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.96 : 1,007.40 = 419.46 : x
  2. Step 2: Convert to fraction form
    729.96/1,007.40 = 419.46/x
  3. Step 3: Cross multiply
    729.96x = 1,007.40 × 419.46
  4. Step 4: Simplify right side
    729.96x = 422,564.00
  5. Step 5: Solve for x
    x = 422,564.00/729.96
  6. Step 6: Final answer
    x = 578.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.