Home / 1,529.83-2,294.41-434.17

Finding the Fourth Proportional to 1,529.83, 2,294.41 and 434.17

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Solution

The fourth proportional to 1,529.83, 2,294.41 and 434.17 is: 651.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.83 : 2,294.41 = 434.17 : x
  2. Step 2: Convert to fraction form
    1,529.83/2,294.41 = 434.17/x
  3. Step 3: Cross multiply
    1,529.83x = 2,294.41 × 434.17
  4. Step 4: Simplify right side
    1,529.83x = 996,163.99
  5. Step 5: Solve for x
    x = 996,163.99/1,529.83
  6. Step 6: Final answer
    x = 651.16

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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.