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Finding the Fourth Proportional to 559.80, 771.80 and 465.03

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Solution

The fourth proportional to 559.80, 771.80 and 465.03 is: 641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.80 : 771.80 = 465.03 : x
  2. Step 2: Convert to fraction form
    559.80/771.80 = 465.03/x
  3. Step 3: Cross multiply
    559.80x = 771.80 × 465.03
  4. Step 4: Simplify right side
    559.80x = 358,907.83
  5. Step 5: Solve for x
    x = 358,907.83/559.80
  6. Step 6: Final answer
    x = 641.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.