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Finding the Fourth Proportional to 751.97, 1,038.11 and 472.64

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Solution

The fourth proportional to 751.97, 1,038.11 and 472.64 is: 652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.97 : 1,038.11 = 472.64 : x
  2. Step 2: Convert to fraction form
    751.97/1,038.11 = 472.64/x
  3. Step 3: Cross multiply
    751.97x = 1,038.11 × 472.64
  4. Step 4: Simplify right side
    751.97x = 490,644.76
  5. Step 5: Solve for x
    x = 490,644.76/751.97
  6. Step 6: Final answer
    x = 652.48

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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.