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Finding the Fourth Proportional to 851.28, 1,174.40 and 556.53

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Solution

The fourth proportional to 851.28, 1,174.40 and 556.53 is: 767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.28 : 1,174.40 = 556.53 : x
  2. Step 2: Convert to fraction form
    851.28/1,174.40 = 556.53/x
  3. Step 3: Cross multiply
    851.28x = 1,174.40 × 556.53
  4. Step 4: Simplify right side
    851.28x = 653,588.83
  5. Step 5: Solve for x
    x = 653,588.83/851.28
  6. Step 6: Final answer
    x = 767.77

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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.