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Finding the Fourth Proportional to 590.72, 810.40 and 557.60

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Solution

The fourth proportional to 590.72, 810.40 and 557.60 is: 764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.72 : 810.40 = 557.60 : x
  2. Step 2: Convert to fraction form
    590.72/810.40 = 557.60/x
  3. Step 3: Cross multiply
    590.72x = 810.40 × 557.60
  4. Step 4: Simplify right side
    590.72x = 451,879.04
  5. Step 5: Solve for x
    x = 451,879.04/590.72
  6. Step 6: Final answer
    x = 764.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.