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Finding the Fourth Proportional to 470.88, 651.18 and 412.56

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Solution

The fourth proportional to 470.88, 651.18 and 412.56 is: 570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.88 : 651.18 = 412.56 : x
  2. Step 2: Convert to fraction form
    470.88/651.18 = 412.56/x
  3. Step 3: Cross multiply
    470.88x = 651.18 × 412.56
  4. Step 4: Simplify right side
    470.88x = 268,650.82
  5. Step 5: Solve for x
    x = 268,650.82/470.88
  6. Step 6: Final answer
    x = 570.53

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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.