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Finding the Fourth Proportional to 473.18, 653.49 and 421.65

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Solution

The fourth proportional to 473.18, 653.49 and 421.65 is: 582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.18 : 653.49 = 421.65 : x
  2. Step 2: Convert to fraction form
    473.18/653.49 = 421.65/x
  3. Step 3: Cross multiply
    473.18x = 653.49 × 421.65
  4. Step 4: Simplify right side
    473.18x = 275,541.61
  5. Step 5: Solve for x
    x = 275,541.61/473.18
  6. Step 6: Final answer
    x = 582.32

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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.