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Finding the Fourth Proportional to 430.71, 595.62 and 411.36

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Solution

The fourth proportional to 430.71, 595.62 and 411.36 is: 568.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.71 : 595.62 = 411.36 : x
  2. Step 2: Convert to fraction form
    430.71/595.62 = 411.36/x
  3. Step 3: Cross multiply
    430.71x = 595.62 × 411.36
  4. Step 4: Simplify right side
    430.71x = 245,014.24
  5. Step 5: Solve for x
    x = 245,014.24/430.71
  6. Step 6: Final answer
    x = 568.86

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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.