Home / 1,025.46-1,529.69-916.11

Finding the Fourth Proportional to 1,025.46, 1,529.69 and 916.11

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Solution

The fourth proportional to 1,025.46, 1,529.69 and 916.11 is: 1,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.46 : 1,529.69 = 916.11 : x
  2. Step 2: Convert to fraction form
    1,025.46/1,529.69 = 916.11/x
  3. Step 3: Cross multiply
    1,025.46x = 1,529.69 × 916.11
  4. Step 4: Simplify right side
    1,025.46x = 1,401,359.73
  5. Step 5: Solve for x
    x = 1,401,359.73/1,025.46
  6. Step 6: Final answer
    x = 1,366.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.