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Finding the Fourth Proportional to 733.74, 1,012.47 and 419.00

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Solution

The fourth proportional to 733.74, 1,012.47 and 419.00 is: 578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.74 : 1,012.47 = 419.00 : x
  2. Step 2: Convert to fraction form
    733.74/1,012.47 = 419.00/x
  3. Step 3: Cross multiply
    733.74x = 1,012.47 × 419.00
  4. Step 4: Simplify right side
    733.74x = 424,219.87
  5. Step 5: Solve for x
    x = 424,219.87/733.74
  6. Step 6: Final answer
    x = 578.16

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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.