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Finding the Fourth Proportional to 798.04, 1,197.01 and 213.01

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Solution

The fourth proportional to 798.04, 1,197.01 and 213.01 is: 319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.04 : 1,197.01 = 213.01 : x
  2. Step 2: Convert to fraction form
    798.04/1,197.01 = 213.01/x
  3. Step 3: Cross multiply
    798.04x = 1,197.01 × 213.01
  4. Step 4: Simplify right side
    798.04x = 254,975.10
  5. Step 5: Solve for x
    x = 254,975.10/798.04
  6. Step 6: Final answer
    x = 319.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.