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Finding the Fourth Proportional to 590.76, 884.76 and 407.28

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Solution

The fourth proportional to 590.76, 884.76 and 407.28 is: 609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.76 : 884.76 = 407.28 : x
  2. Step 2: Convert to fraction form
    590.76/884.76 = 407.28/x
  3. Step 3: Cross multiply
    590.76x = 884.76 × 407.28
  4. Step 4: Simplify right side
    590.76x = 360,345.05
  5. Step 5: Solve for x
    x = 360,345.05/590.76
  6. Step 6: Final answer
    x = 609.97

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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.