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Finding the Fourth Proportional to 859.16, 1,289.26 and 397.00

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Solution

The fourth proportional to 859.16, 1,289.26 and 397.00 is: 595.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.16 : 1,289.26 = 397.00 : x
  2. Step 2: Convert to fraction form
    859.16/1,289.26 = 397.00/x
  3. Step 3: Cross multiply
    859.16x = 1,289.26 × 397.00
  4. Step 4: Simplify right side
    859.16x = 511,829.77
  5. Step 5: Solve for x
    x = 511,829.77/859.16
  6. Step 6: Final answer
    x = 595.74

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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.