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Finding the Fourth Proportional to 835.93, 1,254.03 and 577.63

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Solution

The fourth proportional to 835.93, 1,254.03 and 577.63 is: 866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.93 : 1,254.03 = 577.63 : x
  2. Step 2: Convert to fraction form
    835.93/1,254.03 = 577.63/x
  3. Step 3: Cross multiply
    835.93x = 1,254.03 × 577.63
  4. Step 4: Simplify right side
    835.93x = 724,365.35
  5. Step 5: Solve for x
    x = 724,365.35/835.93
  6. Step 6: Final answer
    x = 866.54

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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.