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Finding the Fourth Proportional to 804.59, 1,207.01 and 256.58

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Solution

The fourth proportional to 804.59, 1,207.01 and 256.58 is: 384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.59 : 1,207.01 = 256.58 : x
  2. Step 2: Convert to fraction form
    804.59/1,207.01 = 256.58/x
  3. Step 3: Cross multiply
    804.59x = 1,207.01 × 256.58
  4. Step 4: Simplify right side
    804.59x = 309,687.31
  5. Step 5: Solve for x
    x = 309,687.31/804.59
  6. Step 6: Final answer
    x = 384.90

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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.