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Finding the Fourth Proportional to 1,064.31, 1,596.53 and 284.30

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Solution

The fourth proportional to 1,064.31, 1,596.53 and 284.30 is: 426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.31 : 1,596.53 = 284.30 : x
  2. Step 2: Convert to fraction form
    1,064.31/1,596.53 = 284.30/x
  3. Step 3: Cross multiply
    1,064.31x = 1,596.53 × 284.30
  4. Step 4: Simplify right side
    1,064.31x = 453,893.48
  5. Step 5: Solve for x
    x = 453,893.48/1,064.31
  6. Step 6: Final answer
    x = 426.47

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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.