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Finding the Fourth Proportional to 875.99, 1,208.96 and 654.56

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Solution

The fourth proportional to 875.99, 1,208.96 and 654.56 is: 903.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.99 : 1,208.96 = 654.56 : x
  2. Step 2: Convert to fraction form
    875.99/1,208.96 = 654.56/x
  3. Step 3: Cross multiply
    875.99x = 1,208.96 × 654.56
  4. Step 4: Simplify right side
    875.99x = 791,336.86
  5. Step 5: Solve for x
    x = 791,336.86/875.99
  6. Step 6: Final answer
    x = 903.36

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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.