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Finding the Fourth Proportional to 811.42, 1,215.37 and 594.50

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Solution

The fourth proportional to 811.42, 1,215.37 and 594.50 is: 890.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.42 : 1,215.37 = 594.50 : x
  2. Step 2: Convert to fraction form
    811.42/1,215.37 = 594.50/x
  3. Step 3: Cross multiply
    811.42x = 1,215.37 × 594.50
  4. Step 4: Simplify right side
    811.42x = 722,537.47
  5. Step 5: Solve for x
    x = 722,537.47/811.42
  6. Step 6: Final answer
    x = 890.46

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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.