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Finding the Fourth Proportional to 770.29, 1,062.97 and 455.58

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Solution

The fourth proportional to 770.29, 1,062.97 and 455.58 is: 628.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.29 : 1,062.97 = 455.58 : x
  2. Step 2: Convert to fraction form
    770.29/1,062.97 = 455.58/x
  3. Step 3: Cross multiply
    770.29x = 1,062.97 × 455.58
  4. Step 4: Simplify right side
    770.29x = 484,267.87
  5. Step 5: Solve for x
    x = 484,267.87/770.29
  6. Step 6: Final answer
    x = 628.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.