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Finding the Fourth Proportional to 590.35, 883.60 and 407.19

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Solution

The fourth proportional to 590.35, 883.60 and 407.19 is: 609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.35 : 883.60 = 407.19 : x
  2. Step 2: Convert to fraction form
    590.35/883.60 = 407.19/x
  3. Step 3: Cross multiply
    590.35x = 883.60 × 407.19
  4. Step 4: Simplify right side
    590.35x = 359,793.08
  5. Step 5: Solve for x
    x = 359,793.08/590.35
  6. Step 6: Final answer
    x = 609.46

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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.