Home / 1,539.38-2,307.70-564.80

Finding the Fourth Proportional to 1,539.38, 2,307.70 and 564.80

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Solution

The fourth proportional to 1,539.38, 2,307.70 and 564.80 is: 846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.38 : 2,307.70 = 564.80 : x
  2. Step 2: Convert to fraction form
    1,539.38/2,307.70 = 564.80/x
  3. Step 3: Cross multiply
    1,539.38x = 2,307.70 × 564.80
  4. Step 4: Simplify right side
    1,539.38x = 1,303,388.96
  5. Step 5: Solve for x
    x = 1,303,388.96/1,539.38
  6. Step 6: Final answer
    x = 846.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.