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Finding the Fourth Proportional to 1,056.94, 1,584.84 and 479.50

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Solution

The fourth proportional to 1,056.94, 1,584.84 and 479.50 is: 718.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.94 : 1,584.84 = 479.50 : x
  2. Step 2: Convert to fraction form
    1,056.94/1,584.84 = 479.50/x
  3. Step 3: Cross multiply
    1,056.94x = 1,584.84 × 479.50
  4. Step 4: Simplify right side
    1,056.94x = 759,930.78
  5. Step 5: Solve for x
    x = 759,930.78/1,056.94
  6. Step 6: Final answer
    x = 718.99

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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.