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Finding the Fourth Proportional to 938.10, 1,403.64 and 566.58

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Solution

The fourth proportional to 938.10, 1,403.64 and 566.58 is: 847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.10 : 1,403.64 = 566.58 : x
  2. Step 2: Convert to fraction form
    938.10/1,403.64 = 566.58/x
  3. Step 3: Cross multiply
    938.10x = 1,403.64 × 566.58
  4. Step 4: Simplify right side
    938.10x = 795,274.35
  5. Step 5: Solve for x
    x = 795,274.35/938.10
  6. Step 6: Final answer
    x = 847.75

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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.