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Finding the Fourth Proportional to 770.30, 1,152.69 and 444.06

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Solution

The fourth proportional to 770.30, 1,152.69 and 444.06 is: 664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.30 : 1,152.69 = 444.06 : x
  2. Step 2: Convert to fraction form
    770.30/1,152.69 = 444.06/x
  3. Step 3: Cross multiply
    770.30x = 1,152.69 × 444.06
  4. Step 4: Simplify right side
    770.30x = 511,863.52
  5. Step 5: Solve for x
    x = 511,863.52/770.30
  6. Step 6: Final answer
    x = 664.50

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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.