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Finding the Fourth Proportional to 880.37, 1,214.68 and 597.31

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Solution

The fourth proportional to 880.37, 1,214.68 and 597.31 is: 824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.37 : 1,214.68 = 597.31 : x
  2. Step 2: Convert to fraction form
    880.37/1,214.68 = 597.31/x
  3. Step 3: Cross multiply
    880.37x = 1,214.68 × 597.31
  4. Step 4: Simplify right side
    880.37x = 725,540.51
  5. Step 5: Solve for x
    x = 725,540.51/880.37
  6. Step 6: Final answer
    x = 824.13

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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.