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Finding the Fourth Proportional to 688.83, 1,034.46 and 402.09

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Solution

The fourth proportional to 688.83, 1,034.46 and 402.09 is: 603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.83 : 1,034.46 = 402.09 : x
  2. Step 2: Convert to fraction form
    688.83/1,034.46 = 402.09/x
  3. Step 3: Cross multiply
    688.83x = 1,034.46 × 402.09
  4. Step 4: Simplify right side
    688.83x = 415,946.02
  5. Step 5: Solve for x
    x = 415,946.02/688.83
  6. Step 6: Final answer
    x = 603.84

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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.