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Finding the Fourth Proportional to 1,056.53, 1,584.99 and 407.31

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Solution

The fourth proportional to 1,056.53, 1,584.99 and 407.31 is: 611.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.53 : 1,584.99 = 407.31 : x
  2. Step 2: Convert to fraction form
    1,056.53/1,584.99 = 407.31/x
  3. Step 3: Cross multiply
    1,056.53x = 1,584.99 × 407.31
  4. Step 4: Simplify right side
    1,056.53x = 645,582.28
  5. Step 5: Solve for x
    x = 645,582.28/1,056.53
  6. Step 6: Final answer
    x = 611.04

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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.