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Finding the Fourth Proportional to 875.48, 1,208.13 and 521.39

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Solution

The fourth proportional to 875.48, 1,208.13 and 521.39 is: 719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.48 : 1,208.13 = 521.39 : x
  2. Step 2: Convert to fraction form
    875.48/1,208.13 = 521.39/x
  3. Step 3: Cross multiply
    875.48x = 1,208.13 × 521.39
  4. Step 4: Simplify right side
    875.48x = 629,900.86
  5. Step 5: Solve for x
    x = 629,900.86/875.48
  6. Step 6: Final answer
    x = 719.50

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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.