Home / 1,056.63-1,583.85-440.16

Finding the Fourth Proportional to 1,056.63, 1,583.85 and 440.16

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Solution

The fourth proportional to 1,056.63, 1,583.85 and 440.16 is: 659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.63 : 1,583.85 = 440.16 : x
  2. Step 2: Convert to fraction form
    1,056.63/1,583.85 = 440.16/x
  3. Step 3: Cross multiply
    1,056.63x = 1,583.85 × 440.16
  4. Step 4: Simplify right side
    1,056.63x = 697,147.42
  5. Step 5: Solve for x
    x = 697,147.42/1,056.63
  6. Step 6: Final answer
    x = 659.78

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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.