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Finding the Fourth Proportional to 470.76, 706.06 and 259.74

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Solution

The fourth proportional to 470.76, 706.06 and 259.74 is: 389.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.76 : 706.06 = 259.74 : x
  2. Step 2: Convert to fraction form
    470.76/706.06 = 259.74/x
  3. Step 3: Cross multiply
    470.76x = 706.06 × 259.74
  4. Step 4: Simplify right side
    470.76x = 183,392.02
  5. Step 5: Solve for x
    x = 183,392.02/470.76
  6. Step 6: Final answer
    x = 389.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.