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Finding the Fourth Proportional to 875.59, 1,208.55 and 517.00

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Solution

The fourth proportional to 875.59, 1,208.55 and 517.00 is: 713.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.59 : 1,208.55 = 517.00 : x
  2. Step 2: Convert to fraction form
    875.59/1,208.55 = 517.00/x
  3. Step 3: Cross multiply
    875.59x = 1,208.55 × 517.00
  4. Step 4: Simplify right side
    875.59x = 624,817.33
  5. Step 5: Solve for x
    x = 624,817.33/875.59
  6. Step 6: Final answer
    x = 713.59

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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.