Home / 1,430.31-2,145.60-505.77

Finding the Fourth Proportional to 1,430.31, 2,145.60 and 505.77

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Solution

The fourth proportional to 1,430.31, 2,145.60 and 505.77 is: 758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.31 : 2,145.60 = 505.77 : x
  2. Step 2: Convert to fraction form
    1,430.31/2,145.60 = 505.77/x
  3. Step 3: Cross multiply
    1,430.31x = 2,145.60 × 505.77
  4. Step 4: Simplify right side
    1,430.31x = 1,085,180.11
  5. Step 5: Solve for x
    x = 1,085,180.11/1,430.31
  6. Step 6: Final answer
    x = 758.70

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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.