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Finding the Fourth Proportional to 875.37, 1,208.09 and 502.36

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Solution

The fourth proportional to 875.37, 1,208.09 and 502.36 is: 693.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.37 : 1,208.09 = 502.36 : x
  2. Step 2: Convert to fraction form
    875.37/1,208.09 = 502.36/x
  3. Step 3: Cross multiply
    875.37x = 1,208.09 × 502.36
  4. Step 4: Simplify right side
    875.37x = 606,901.41
  5. Step 5: Solve for x
    x = 606,901.41/875.37
  6. Step 6: Final answer
    x = 693.31

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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.