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Finding the Fourth Proportional to 786.42, 1,085.28 and 454.98

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Solution

The fourth proportional to 786.42, 1,085.28 and 454.98 is: 627.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.42 : 1,085.28 = 454.98 : x
  2. Step 2: Convert to fraction form
    786.42/1,085.28 = 454.98/x
  3. Step 3: Cross multiply
    786.42x = 1,085.28 × 454.98
  4. Step 4: Simplify right side
    786.42x = 493,780.69
  5. Step 5: Solve for x
    x = 493,780.69/786.42
  6. Step 6: Final answer
    x = 627.88

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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.