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Finding the Fourth Proportional to 572.87, 780.64 and 559.51

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Solution

The fourth proportional to 572.87, 780.64 and 559.51 is: 762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.87 : 780.64 = 559.51 : x
  2. Step 2: Convert to fraction form
    572.87/780.64 = 559.51/x
  3. Step 3: Cross multiply
    572.87x = 780.64 × 559.51
  4. Step 4: Simplify right side
    572.87x = 436,772.54
  5. Step 5: Solve for x
    x = 436,772.54/572.87
  6. Step 6: Final answer
    x = 762.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.