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Finding the Fourth Proportional to 669.76, 1,004.64 and 556.48

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Solution

The fourth proportional to 669.76, 1,004.64 and 556.48 is: 834.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.76 : 1,004.64 = 556.48 : x
  2. Step 2: Convert to fraction form
    669.76/1,004.64 = 556.48/x
  3. Step 3: Cross multiply
    669.76x = 1,004.64 × 556.48
  4. Step 4: Simplify right side
    669.76x = 559,062.07
  5. Step 5: Solve for x
    x = 559,062.07/669.76
  6. Step 6: Final answer
    x = 834.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.