Home / 1,341.23-2,012.85-509.02

Finding the Fourth Proportional to 1,341.23, 2,012.85 and 509.02

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Solution

The fourth proportional to 1,341.23, 2,012.85 and 509.02 is: 763.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.23 : 2,012.85 = 509.02 : x
  2. Step 2: Convert to fraction form
    1,341.23/2,012.85 = 509.02/x
  3. Step 3: Cross multiply
    1,341.23x = 2,012.85 × 509.02
  4. Step 4: Simplify right side
    1,341.23x = 1,024,575.87
  5. Step 5: Solve for x
    x = 1,024,575.87/1,341.23
  6. Step 6: Final answer
    x = 763.91

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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.