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Finding the Fourth Proportional to 613.07, 919.45 and 511.01

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Solution

The fourth proportional to 613.07, 919.45 and 511.01 is: 766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.07 : 919.45 = 511.01 : x
  2. Step 2: Convert to fraction form
    613.07/919.45 = 511.01/x
  3. Step 3: Cross multiply
    613.07x = 919.45 × 511.01
  4. Step 4: Simplify right side
    613.07x = 469,848.14
  5. Step 5: Solve for x
    x = 469,848.14/613.07
  6. Step 6: Final answer
    x = 766.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.