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Finding the Fourth Proportional to 770.13, 1,062.77 and 459.63

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Solution

The fourth proportional to 770.13, 1,062.77 and 459.63 is: 634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.13 : 1,062.77 = 459.63 : x
  2. Step 2: Convert to fraction form
    770.13/1,062.77 = 459.63/x
  3. Step 3: Cross multiply
    770.13x = 1,062.77 × 459.63
  4. Step 4: Simplify right side
    770.13x = 488,480.98
  5. Step 5: Solve for x
    x = 488,480.98/770.13
  6. Step 6: Final answer
    x = 634.28

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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.