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Finding the Fourth Proportional to 875.82, 1,208.21 and 521.54

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Solution

The fourth proportional to 875.82, 1,208.21 and 521.54 is: 719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.82 : 1,208.21 = 521.54 : x
  2. Step 2: Convert to fraction form
    875.82/1,208.21 = 521.54/x
  3. Step 3: Cross multiply
    875.82x = 1,208.21 × 521.54
  4. Step 4: Simplify right side
    875.82x = 630,125.11
  5. Step 5: Solve for x
    x = 630,125.11/875.82
  6. Step 6: Final answer
    x = 719.47

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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.