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Finding the Fourth Proportional to 912.47, 1,368.97 and 419.21

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Solution

The fourth proportional to 912.47, 1,368.97 and 419.21 is: 628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.47 : 1,368.97 = 419.21 : x
  2. Step 2: Convert to fraction form
    912.47/1,368.97 = 419.21/x
  3. Step 3: Cross multiply
    912.47x = 1,368.97 × 419.21
  4. Step 4: Simplify right side
    912.47x = 573,878.02
  5. Step 5: Solve for x
    x = 573,878.02/912.47
  6. Step 6: Final answer
    x = 628.93

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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.