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Finding the Fourth Proportional to 875.03, 1,207.31 and 520.82

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Solution

The fourth proportional to 875.03, 1,207.31 and 520.82 is: 718.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.03 : 1,207.31 = 520.82 : x
  2. Step 2: Convert to fraction form
    875.03/1,207.31 = 520.82/x
  3. Step 3: Cross multiply
    875.03x = 1,207.31 × 520.82
  4. Step 4: Simplify right side
    875.03x = 628,782.55
  5. Step 5: Solve for x
    x = 628,782.55/875.03
  6. Step 6: Final answer
    x = 718.59

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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.