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Finding the Fourth Proportional to 575.06, 857.64 and 519.70

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Solution

The fourth proportional to 575.06, 857.64 and 519.70 is: 775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.06 : 857.64 = 519.70 : x
  2. Step 2: Convert to fraction form
    575.06/857.64 = 519.70/x
  3. Step 3: Cross multiply
    575.06x = 857.64 × 519.70
  4. Step 4: Simplify right side
    575.06x = 445,715.51
  5. Step 5: Solve for x
    x = 445,715.51/575.06
  6. Step 6: Final answer
    x = 775.08

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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.