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Finding the Fourth Proportional to 470.56, 702.56 and 425.20

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Solution

The fourth proportional to 470.56, 702.56 and 425.20 is: 634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.56 : 702.56 = 425.20 : x
  2. Step 2: Convert to fraction form
    470.56/702.56 = 425.20/x
  3. Step 3: Cross multiply
    470.56x = 702.56 × 425.20
  4. Step 4: Simplify right side
    470.56x = 298,728.51
  5. Step 5: Solve for x
    x = 298,728.51/470.56
  6. Step 6: Final answer
    x = 634.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.