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Finding the Fourth Proportional to 430.68, 594.66 and 409.80

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Solution

The fourth proportional to 430.68, 594.66 and 409.80 is: 565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.68 : 594.66 = 409.80 : x
  2. Step 2: Convert to fraction form
    430.68/594.66 = 409.80/x
  3. Step 3: Cross multiply
    430.68x = 594.66 × 409.80
  4. Step 4: Simplify right side
    430.68x = 243,691.67
  5. Step 5: Solve for x
    x = 243,691.67/430.68
  6. Step 6: Final answer
    x = 565.83

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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.