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Finding the Fourth Proportional to 688.26, 1,030.08 and 482.34

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Solution

The fourth proportional to 688.26, 1,030.08 and 482.34 is: 721.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.26 : 1,030.08 = 482.34 : x
  2. Step 2: Convert to fraction form
    688.26/1,030.08 = 482.34/x
  3. Step 3: Cross multiply
    688.26x = 1,030.08 × 482.34
  4. Step 4: Simplify right side
    688.26x = 496,848.79
  5. Step 5: Solve for x
    x = 496,848.79/688.26
  6. Step 6: Final answer
    x = 721.89

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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.