Home / 1,430.20-2,145.57-505.65

Finding the Fourth Proportional to 1,430.20, 2,145.57 and 505.65

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Solution

The fourth proportional to 1,430.20, 2,145.57 and 505.65 is: 758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.20 : 2,145.57 = 505.65 : x
  2. Step 2: Convert to fraction form
    1,430.20/2,145.57 = 505.65/x
  3. Step 3: Cross multiply
    1,430.20x = 2,145.57 × 505.65
  4. Step 4: Simplify right side
    1,430.20x = 1,084,907.47
  5. Step 5: Solve for x
    x = 1,084,907.47/1,430.20
  6. Step 6: Final answer
    x = 758.57

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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.