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Finding the Fourth Proportional to 813.12, 1,218.12 and 448.08

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Solution

The fourth proportional to 813.12, 1,218.12 and 448.08 is: 671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.12 : 1,218.12 = 448.08 : x
  2. Step 2: Convert to fraction form
    813.12/1,218.12 = 448.08/x
  3. Step 3: Cross multiply
    813.12x = 1,218.12 × 448.08
  4. Step 4: Simplify right side
    813.12x = 545,815.21
  5. Step 5: Solve for x
    x = 545,815.21/813.12
  6. Step 6: Final answer
    x = 671.26

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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.