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Finding the Fourth Proportional to 770.64, 1,063.52 and 574.68

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Solution

The fourth proportional to 770.64, 1,063.52 and 574.68 is: 793.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.64 : 1,063.52 = 574.68 : x
  2. Step 2: Convert to fraction form
    770.64/1,063.52 = 574.68/x
  3. Step 3: Cross multiply
    770.64x = 1,063.52 × 574.68
  4. Step 4: Simplify right side
    770.64x = 611,183.67
  5. Step 5: Solve for x
    x = 611,183.67/770.64
  6. Step 6: Final answer
    x = 793.09

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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.