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Finding the Fourth Proportional to 473.55, 707.13 and 387.05

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Solution

The fourth proportional to 473.55, 707.13 and 387.05 is: 577.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.55 : 707.13 = 387.05 : x
  2. Step 2: Convert to fraction form
    473.55/707.13 = 387.05/x
  3. Step 3: Cross multiply
    473.55x = 707.13 × 387.05
  4. Step 4: Simplify right side
    473.55x = 273,696.43
  5. Step 5: Solve for x
    x = 273,696.43/473.55
  6. Step 6: Final answer
    x = 577.97

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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.