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Finding the Fourth Proportional to 590.59, 814.63 and 570.54

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Solution

The fourth proportional to 590.59, 814.63 and 570.54 is: 786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.59 : 814.63 = 570.54 : x
  2. Step 2: Convert to fraction form
    590.59/814.63 = 570.54/x
  3. Step 3: Cross multiply
    590.59x = 814.63 × 570.54
  4. Step 4: Simplify right side
    590.59x = 464,779.00
  5. Step 5: Solve for x
    x = 464,779.00/590.59
  6. Step 6: Final answer
    x = 786.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.