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Finding the Fourth Proportional to 739.21, 1,019.40 and 473.36

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Solution

The fourth proportional to 739.21, 1,019.40 and 473.36 is: 652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.21 : 1,019.40 = 473.36 : x
  2. Step 2: Convert to fraction form
    739.21/1,019.40 = 473.36/x
  3. Step 3: Cross multiply
    739.21x = 1,019.40 × 473.36
  4. Step 4: Simplify right side
    739.21x = 482,541.41
  5. Step 5: Solve for x
    x = 482,541.41/739.21
  6. Step 6: Final answer
    x = 652.78

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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.