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Finding the Fourth Proportional to 875.94, 1,208.10 and 543.74

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Solution

The fourth proportional to 875.94, 1,208.10 and 543.74 is: 749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.94 : 1,208.10 = 543.74 : x
  2. Step 2: Convert to fraction form
    875.94/1,208.10 = 543.74/x
  3. Step 3: Cross multiply
    875.94x = 1,208.10 × 543.74
  4. Step 4: Simplify right side
    875.94x = 656,892.29
  5. Step 5: Solve for x
    x = 656,892.29/875.94
  6. Step 6: Final answer
    x = 749.93

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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.