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Finding the Fourth Proportional to 811.12, 1,214.92 and 503.05

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Solution

The fourth proportional to 811.12, 1,214.92 and 503.05 is: 753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.12 : 1,214.92 = 503.05 : x
  2. Step 2: Convert to fraction form
    811.12/1,214.92 = 503.05/x
  3. Step 3: Cross multiply
    811.12x = 1,214.92 × 503.05
  4. Step 4: Simplify right side
    811.12x = 611,165.51
  5. Step 5: Solve for x
    x = 611,165.51/811.12
  6. Step 6: Final answer
    x = 753.48

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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.