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Finding the Fourth Proportional to 810.22, 1,215.52 and 290.25

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Solution

The fourth proportional to 810.22, 1,215.52 and 290.25 is: 435.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.22 : 1,215.52 = 290.25 : x
  2. Step 2: Convert to fraction form
    810.22/1,215.52 = 290.25/x
  3. Step 3: Cross multiply
    810.22x = 1,215.52 × 290.25
  4. Step 4: Simplify right side
    810.22x = 352,804.68
  5. Step 5: Solve for x
    x = 352,804.68/810.22
  6. Step 6: Final answer
    x = 435.44

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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.