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Finding the Fourth Proportional to 1,187.84, 1,782.45 and 458

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Solution

The fourth proportional to 1,187.84, 1,782.45 and 458 is: 687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.84 : 1,782.45 = 458 : x
  2. Step 2: Convert to fraction form
    1,187.84/1,782.45 = 458/x
  3. Step 3: Cross multiply
    1,187.84x = 1,782.45 × 458
  4. Step 4: Simplify right side
    1,187.84x = 816,362.10
  5. Step 5: Solve for x
    x = 816,362.10/1,187.84
  6. Step 6: Final answer
    x = 687.27

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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.