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Finding the Fourth Proportional to 770.43, 1,062.04 and 475.19

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Solution

The fourth proportional to 770.43, 1,062.04 and 475.19 is: 655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.43 : 1,062.04 = 475.19 : x
  2. Step 2: Convert to fraction form
    770.43/1,062.04 = 475.19/x
  3. Step 3: Cross multiply
    770.43x = 1,062.04 × 475.19
  4. Step 4: Simplify right side
    770.43x = 504,670.79
  5. Step 5: Solve for x
    x = 504,670.79/770.43
  6. Step 6: Final answer
    x = 655.05

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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.