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Finding the Fourth Proportional to 470.94, 702.44 and 456.54

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Solution

The fourth proportional to 470.94, 702.44 and 456.54 is: 680.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.94 : 702.44 = 456.54 : x
  2. Step 2: Convert to fraction form
    470.94/702.44 = 456.54/x
  3. Step 3: Cross multiply
    470.94x = 702.44 × 456.54
  4. Step 4: Simplify right side
    470.94x = 320,689.67
  5. Step 5: Solve for x
    x = 320,689.67/470.94
  6. Step 6: Final answer
    x = 680.96

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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.