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Finding the Fourth Proportional to 1,056.06, 1,584.09 and 440.06

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Solution

The fourth proportional to 1,056.06, 1,584.09 and 440.06 is: 660.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.06 : 1,584.09 = 440.06 : x
  2. Step 2: Convert to fraction form
    1,056.06/1,584.09 = 440.06/x
  3. Step 3: Cross multiply
    1,056.06x = 1,584.09 × 440.06
  4. Step 4: Simplify right side
    1,056.06x = 697,086.72
  5. Step 5: Solve for x
    x = 697,086.72/1,056.06
  6. Step 6: Final answer
    x = 660.08

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1.5x scale

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.