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Finding the Fourth Proportional to 473.72, 653.87 and 458.33

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Solution

The fourth proportional to 473.72, 653.87 and 458.33 is: 632.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.72 : 653.87 = 458.33 : x
  2. Step 2: Convert to fraction form
    473.72/653.87 = 458.33/x
  3. Step 3: Cross multiply
    473.72x = 653.87 × 458.33
  4. Step 4: Simplify right side
    473.72x = 299,686.11
  5. Step 5: Solve for x
    x = 299,686.11/473.72
  6. Step 6: Final answer
    x = 632.63

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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.