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Finding the Fourth Proportional to 738.99, 1,019.81 and 407.41

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Solution

The fourth proportional to 738.99, 1,019.81 and 407.41 is: 562.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.99 : 1,019.81 = 407.41 : x
  2. Step 2: Convert to fraction form
    738.99/1,019.81 = 407.41/x
  3. Step 3: Cross multiply
    738.99x = 1,019.81 × 407.41
  4. Step 4: Simplify right side
    738.99x = 415,483.09
  5. Step 5: Solve for x
    x = 415,483.09/738.99
  6. Step 6: Final answer
    x = 562.23

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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.