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Finding the Fourth Proportional to 688.31, 1,032.50 and 277.39

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Solution

The fourth proportional to 688.31, 1,032.50 and 277.39 is: 416.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.31 : 1,032.50 = 277.39 : x
  2. Step 2: Convert to fraction form
    688.31/1,032.50 = 277.39/x
  3. Step 3: Cross multiply
    688.31x = 1,032.50 × 277.39
  4. Step 4: Simplify right side
    688.31x = 286,401.21
  5. Step 5: Solve for x
    x = 286,401.21/688.31
  6. Step 6: Final answer
    x = 416.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.