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Finding the Fourth Proportional to 756.24, 1,044 and 646.89

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Solution

The fourth proportional to 756.24, 1,044 and 646.89 is: 893.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.24 : 1,044 = 646.89 : x
  2. Step 2: Convert to fraction form
    756.24/1,044 = 646.89/x
  3. Step 3: Cross multiply
    756.24x = 1,044 × 646.89
  4. Step 4: Simplify right side
    756.24x = 675,353.16
  5. Step 5: Solve for x
    x = 675,353.16/756.24
  6. Step 6: Final answer
    x = 893.04

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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.