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Finding the Fourth Proportional to 810.51, 1,215.77 and 233.39

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Solution

The fourth proportional to 810.51, 1,215.77 and 233.39 is: 350.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.51 : 1,215.77 = 233.39 : x
  2. Step 2: Convert to fraction form
    810.51/1,215.77 = 233.39/x
  3. Step 3: Cross multiply
    810.51x = 1,215.77 × 233.39
  4. Step 4: Simplify right side
    810.51x = 283,741.31
  5. Step 5: Solve for x
    x = 283,741.31/810.51
  6. Step 6: Final answer
    x = 350.08

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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.