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Finding the Fourth Proportional to 505.26, 761.74 and 470.04

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Solution

The fourth proportional to 505.26, 761.74 and 470.04 is: 708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.26 : 761.74 = 470.04 : x
  2. Step 2: Convert to fraction form
    505.26/761.74 = 470.04/x
  3. Step 3: Cross multiply
    505.26x = 761.74 × 470.04
  4. Step 4: Simplify right side
    505.26x = 358,048.27
  5. Step 5: Solve for x
    x = 358,048.27/505.26
  6. Step 6: Final answer
    x = 708.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.