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Finding the Fourth Proportional to 559.70, 785.20 and 559.70

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Solution

The fourth proportional to 559.70, 785.20 and 559.70 is: 785.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.70 : 785.20 = 559.70 : x
  2. Step 2: Convert to fraction form
    559.70/785.20 = 559.70/x
  3. Step 3: Cross multiply
    559.70x = 785.20 × 559.70
  4. Step 4: Simplify right side
    559.70x = 439,476.44
  5. Step 5: Solve for x
    x = 439,476.44/559.70
  6. Step 6: Final answer
    x = 785.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.