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Finding the Fourth Proportional to 1,051.49, 1,575.18 and 495.47

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Solution

The fourth proportional to 1,051.49, 1,575.18 and 495.47 is: 742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.49 : 1,575.18 = 495.47 : x
  2. Step 2: Convert to fraction form
    1,051.49/1,575.18 = 495.47/x
  3. Step 3: Cross multiply
    1,051.49x = 1,575.18 × 495.47
  4. Step 4: Simplify right side
    1,051.49x = 780,454.43
  5. Step 5: Solve for x
    x = 780,454.43/1,051.49
  6. Step 6: Final answer
    x = 742.24

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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.