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Finding the Fourth Proportional to 804.01, 1,205.91 and 510.64

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Solution

The fourth proportional to 804.01, 1,205.91 and 510.64 is: 765.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.01 : 1,205.91 = 510.64 : x
  2. Step 2: Convert to fraction form
    804.01/1,205.91 = 510.64/x
  3. Step 3: Cross multiply
    804.01x = 1,205.91 × 510.64
  4. Step 4: Simplify right side
    804.01x = 615,785.88
  5. Step 5: Solve for x
    x = 615,785.88/804.01
  6. Step 6: Final answer
    x = 765.89

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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.