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Finding the Fourth Proportional to 1,582, 2,372.89 and 486.28

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Solution

The fourth proportional to 1,582, 2,372.89 and 486.28 is: 729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582 : 2,372.89 = 486.28 : x
  2. Step 2: Convert to fraction form
    1,582/2,372.89 = 486.28/x
  3. Step 3: Cross multiply
    1,582x = 2,372.89 × 486.28
  4. Step 4: Simplify right side
    1,582x = 1,153,888.95
  5. Step 5: Solve for x
    x = 1,153,888.95/1,582
  6. Step 6: Final answer
    x = 729.39

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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.