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Finding the Fourth Proportional to 770.00, 1,149.77 and 612.05

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Solution

The fourth proportional to 770.00, 1,149.77 and 612.05 is: 913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.00 : 1,149.77 = 612.05 : x
  2. Step 2: Convert to fraction form
    770.00/1,149.77 = 612.05/x
  3. Step 3: Cross multiply
    770.00x = 1,149.77 × 612.05
  4. Step 4: Simplify right side
    770.00x = 703,707.92
  5. Step 5: Solve for x
    x = 703,707.92/770.00
  6. Step 6: Final answer
    x = 913.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.