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Finding the Fourth Proportional to 430.62, 592.62 and 412.17

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Solution

The fourth proportional to 430.62, 592.62 and 412.17 is: 567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.62 : 592.62 = 412.17 : x
  2. Step 2: Convert to fraction form
    430.62/592.62 = 412.17/x
  3. Step 3: Cross multiply
    430.62x = 592.62 × 412.17
  4. Step 4: Simplify right side
    430.62x = 244,260.19
  5. Step 5: Solve for x
    x = 244,260.19/430.62
  6. Step 6: Final answer
    x = 567.23

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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.