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Finding the Fourth Proportional to 470.40, 702.40 and 451.20

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Solution

The fourth proportional to 470.40, 702.40 and 451.20 is: 673.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.40 : 702.40 = 451.20 : x
  2. Step 2: Convert to fraction form
    470.40/702.40 = 451.20/x
  3. Step 3: Cross multiply
    470.40x = 702.40 × 451.20
  4. Step 4: Simplify right side
    470.40x = 316,922.88
  5. Step 5: Solve for x
    x = 316,922.88/470.40
  6. Step 6: Final answer
    x = 673.73

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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.