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Finding the Fourth Proportional to 473.00, 652.40 and 313.29

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Solution

The fourth proportional to 473.00, 652.40 and 313.29 is: 432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.00 : 652.40 = 313.29 : x
  2. Step 2: Convert to fraction form
    473.00/652.40 = 313.29/x
  3. Step 3: Cross multiply
    473.00x = 652.40 × 313.29
  4. Step 4: Simplify right side
    473.00x = 204,388.83
  5. Step 5: Solve for x
    x = 204,388.83/473.00
  6. Step 6: Final answer
    x = 432.12

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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.