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Finding the Fourth Proportional to 756.69, 1,044.54 and 491.22

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Solution

The fourth proportional to 756.69, 1,044.54 and 491.22 is: 678.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.69 : 1,044.54 = 491.22 : x
  2. Step 2: Convert to fraction form
    756.69/1,044.54 = 491.22/x
  3. Step 3: Cross multiply
    756.69x = 1,044.54 × 491.22
  4. Step 4: Simplify right side
    756.69x = 513,098.94
  5. Step 5: Solve for x
    x = 513,098.94/756.69
  6. Step 6: Final answer
    x = 678.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.