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Finding the Fourth Proportional to 590.69, 885.91 and 561.41

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Solution

The fourth proportional to 590.69, 885.91 and 561.41 is: 842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.69 : 885.91 = 561.41 : x
  2. Step 2: Convert to fraction form
    590.69/885.91 = 561.41/x
  3. Step 3: Cross multiply
    590.69x = 885.91 × 561.41
  4. Step 4: Simplify right side
    590.69x = 497,359.54
  5. Step 5: Solve for x
    x = 497,359.54/590.69
  6. Step 6: Final answer
    x = 842.00

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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.