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Finding the Fourth Proportional to 851.34, 1,176.03 and 657.30

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Solution

The fourth proportional to 851.34, 1,176.03 and 657.30 is: 907.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.34 : 1,176.03 = 657.30 : x
  2. Step 2: Convert to fraction form
    851.34/1,176.03 = 657.30/x
  3. Step 3: Cross multiply
    851.34x = 1,176.03 × 657.30
  4. Step 4: Simplify right side
    851.34x = 773,004.52
  5. Step 5: Solve for x
    x = 773,004.52/851.34
  6. Step 6: Final answer
    x = 907.99

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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.