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Finding the Fourth Proportional to 859.86, 1,289.59 and 397.35

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Solution

The fourth proportional to 859.86, 1,289.59 and 397.35 is: 595.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.86 : 1,289.59 = 397.35 : x
  2. Step 2: Convert to fraction form
    859.86/1,289.59 = 397.35/x
  3. Step 3: Cross multiply
    859.86x = 1,289.59 × 397.35
  4. Step 4: Simplify right side
    859.86x = 512,417.59
  5. Step 5: Solve for x
    x = 512,417.59/859.86
  6. Step 6: Final answer
    x = 595.93

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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.