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Finding the Fourth Proportional to 688.14, 1,031.63 and 277.07

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Solution

The fourth proportional to 688.14, 1,031.63 and 277.07 is: 415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.14 : 1,031.63 = 277.07 : x
  2. Step 2: Convert to fraction form
    688.14/1,031.63 = 277.07/x
  3. Step 3: Cross multiply
    688.14x = 1,031.63 × 277.07
  4. Step 4: Simplify right side
    688.14x = 285,827.18
  5. Step 5: Solve for x
    x = 285,827.18/688.14
  6. Step 6: Final answer
    x = 415.36

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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.