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Finding the Fourth Proportional to 559.31, 837.87 and 430.79

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Solution

The fourth proportional to 559.31, 837.87 and 430.79 is: 645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.31 : 837.87 = 430.79 : x
  2. Step 2: Convert to fraction form
    559.31/837.87 = 430.79/x
  3. Step 3: Cross multiply
    559.31x = 837.87 × 430.79
  4. Step 4: Simplify right side
    559.31x = 360,946.02
  5. Step 5: Solve for x
    x = 360,946.02/559.31
  6. Step 6: Final answer
    x = 645.34

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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.