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Finding the Fourth Proportional to 575.73, 859.38 and 527.03

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Solution

The fourth proportional to 575.73, 859.38 and 527.03 is: 786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.73 : 859.38 = 527.03 : x
  2. Step 2: Convert to fraction form
    575.73/859.38 = 527.03/x
  3. Step 3: Cross multiply
    575.73x = 859.38 × 527.03
  4. Step 4: Simplify right side
    575.73x = 452,919.04
  5. Step 5: Solve for x
    x = 452,919.04/575.73
  6. Step 6: Final answer
    x = 786.69

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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.