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Finding the Fourth Proportional to 688.01, 1,029.44 and 409.35

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Solution

The fourth proportional to 688.01, 1,029.44 and 409.35 is: 612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.01 : 1,029.44 = 409.35 : x
  2. Step 2: Convert to fraction form
    688.01/1,029.44 = 409.35/x
  3. Step 3: Cross multiply
    688.01x = 1,029.44 × 409.35
  4. Step 4: Simplify right side
    688.01x = 421,402.29
  5. Step 5: Solve for x
    x = 421,402.29/688.01
  6. Step 6: Final answer
    x = 612.49

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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.