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Finding the Fourth Proportional to 770.10, 1,062.27 and 604.05

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Solution

The fourth proportional to 770.10, 1,062.27 and 604.05 is: 833.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.10 : 1,062.27 = 604.05 : x
  2. Step 2: Convert to fraction form
    770.10/1,062.27 = 604.05/x
  3. Step 3: Cross multiply
    770.10x = 1,062.27 × 604.05
  4. Step 4: Simplify right side
    770.10x = 641,664.19
  5. Step 5: Solve for x
    x = 641,664.19/770.10
  6. Step 6: Final answer
    x = 833.22

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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.