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Finding the Fourth Proportional to 473.47, 653.06 and 316.04

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Solution

The fourth proportional to 473.47, 653.06 and 316.04 is: 435.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.47 : 653.06 = 316.04 : x
  2. Step 2: Convert to fraction form
    473.47/653.06 = 316.04/x
  3. Step 3: Cross multiply
    473.47x = 653.06 × 316.04
  4. Step 4: Simplify right side
    473.47x = 206,390.61
  5. Step 5: Solve for x
    x = 206,390.61/473.47
  6. Step 6: Final answer
    x = 435.91

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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.