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Finding the Fourth Proportional to 733.80, 1,012.64 and 419.12

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Solution

The fourth proportional to 733.80, 1,012.64 and 419.12 is: 578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.80 : 1,012.64 = 419.12 : x
  2. Step 2: Convert to fraction form
    733.80/1,012.64 = 419.12/x
  3. Step 3: Cross multiply
    733.80x = 1,012.64 × 419.12
  4. Step 4: Simplify right side
    733.80x = 424,417.68
  5. Step 5: Solve for x
    x = 424,417.68/733.80
  6. Step 6: Final answer
    x = 578.38

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1.5x scale

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.