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Finding the Fourth Proportional to 875.16, 1,207.56 and 521.20

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Solution

The fourth proportional to 875.16, 1,207.56 and 521.20 is: 719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.16 : 1,207.56 = 521.20 : x
  2. Step 2: Convert to fraction form
    875.16/1,207.56 = 521.20/x
  3. Step 3: Cross multiply
    875.16x = 1,207.56 × 521.20
  4. Step 4: Simplify right side
    875.16x = 629,380.27
  5. Step 5: Solve for x
    x = 629,380.27/875.16
  6. Step 6: Final answer
    x = 719.16

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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.