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Finding the Fourth Proportional to 470.32, 647.16 and 431.92

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Solution

The fourth proportional to 470.32, 647.16 and 431.92 is: 594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.32 : 647.16 = 431.92 : x
  2. Step 2: Convert to fraction form
    470.32/647.16 = 431.92/x
  3. Step 3: Cross multiply
    470.32x = 647.16 × 431.92
  4. Step 4: Simplify right side
    470.32x = 279,521.35
  5. Step 5: Solve for x
    x = 279,521.35/470.32
  6. Step 6: Final answer
    x = 594.32

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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.