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Finding the Fourth Proportional to 573.90, 859.28 and 434.66

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Solution

The fourth proportional to 573.90, 859.28 and 434.66 is: 650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.90 : 859.28 = 434.66 : x
  2. Step 2: Convert to fraction form
    573.90/859.28 = 434.66/x
  3. Step 3: Cross multiply
    573.90x = 859.28 × 434.66
  4. Step 4: Simplify right side
    573.90x = 373,494.64
  5. Step 5: Solve for x
    x = 373,494.64/573.90
  6. Step 6: Final answer
    x = 650.80

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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.