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Finding the Fourth Proportional to 470.64, 646.89 and 415.06

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Solution

The fourth proportional to 470.64, 646.89 and 415.06 is: 570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.64 : 646.89 = 415.06 : x
  2. Step 2: Convert to fraction form
    470.64/646.89 = 415.06/x
  3. Step 3: Cross multiply
    470.64x = 646.89 × 415.06
  4. Step 4: Simplify right side
    470.64x = 268,494.99
  5. Step 5: Solve for x
    x = 268,494.99/470.64
  6. Step 6: Final answer
    x = 570.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.