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Finding the Fourth Proportional to 733.79, 1,012.53 and 419.01

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Solution

The fourth proportional to 733.79, 1,012.53 and 419.01 is: 578.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.79 : 1,012.53 = 419.01 : x
  2. Step 2: Convert to fraction form
    733.79/1,012.53 = 419.01/x
  3. Step 3: Cross multiply
    733.79x = 1,012.53 × 419.01
  4. Step 4: Simplify right side
    733.79x = 424,257.97
  5. Step 5: Solve for x
    x = 424,257.97/733.79
  6. Step 6: Final answer
    x = 578.17

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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.