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Finding the Fourth Proportional to 669.83, 924.64 and 576.20

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Solution

The fourth proportional to 669.83, 924.64 and 576.20 is: 795.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.83 : 924.64 = 576.20 : x
  2. Step 2: Convert to fraction form
    669.83/924.64 = 576.20/x
  3. Step 3: Cross multiply
    669.83x = 924.64 × 576.20
  4. Step 4: Simplify right side
    669.83x = 532,777.57
  5. Step 5: Solve for x
    x = 532,777.57/669.83
  6. Step 6: Final answer
    x = 795.39

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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.