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Finding the Fourth Proportional to 1,262.48, 1,892.49 and 646.47

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Solution

The fourth proportional to 1,262.48, 1,892.49 and 646.47 is: 969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.48 : 1,892.49 = 646.47 : x
  2. Step 2: Convert to fraction form
    1,262.48/1,892.49 = 646.47/x
  3. Step 3: Cross multiply
    1,262.48x = 1,892.49 × 646.47
  4. Step 4: Simplify right side
    1,262.48x = 1,223,438.01
  5. Step 5: Solve for x
    x = 1,223,438.01/1,262.48
  6. Step 6: Final answer
    x = 969.08

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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.