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Finding the Fourth Proportional to 768, 1,150.98 and 526.08

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Solution

The fourth proportional to 768, 1,150.98 and 526.08 is: 788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    768 : 1,150.98 = 526.08 : x
  2. Step 2: Convert to fraction form
    768/1,150.98 = 526.08/x
  3. Step 3: Cross multiply
    768x = 1,150.98 × 526.08
  4. Step 4: Simplify right side
    768x = 605,507.56
  5. Step 5: Solve for x
    x = 605,507.56/768
  6. Step 6: Final answer
    x = 788.42

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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.