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Finding the Fourth Proportional to 875.58, 1,207.77 and 521.26

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Solution

The fourth proportional to 875.58, 1,207.77 and 521.26 is: 719.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.58 : 1,207.77 = 521.26 : x
  2. Step 2: Convert to fraction form
    875.58/1,207.77 = 521.26/x
  3. Step 3: Cross multiply
    875.58x = 1,207.77 × 521.26
  4. Step 4: Simplify right side
    875.58x = 629,564.80
  5. Step 5: Solve for x
    x = 629,564.80/875.58
  6. Step 6: Final answer
    x = 719.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.