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Finding the Fourth Proportional to 706.54, 975.34 and 470.90

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Solution

The fourth proportional to 706.54, 975.34 and 470.90 is: 650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.54 : 975.34 = 470.90 : x
  2. Step 2: Convert to fraction form
    706.54/975.34 = 470.90/x
  3. Step 3: Cross multiply
    706.54x = 975.34 × 470.90
  4. Step 4: Simplify right side
    706.54x = 459,287.61
  5. Step 5: Solve for x
    x = 459,287.61/706.54
  6. Step 6: Final answer
    x = 650.05

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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.