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Finding the Fourth Proportional to 473.57, 710.19 and 290.42

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Solution

The fourth proportional to 473.57, 710.19 and 290.42 is: 435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.57 : 710.19 = 290.42 : x
  2. Step 2: Convert to fraction form
    473.57/710.19 = 290.42/x
  3. Step 3: Cross multiply
    473.57x = 710.19 × 290.42
  4. Step 4: Simplify right side
    473.57x = 206,249.83
  5. Step 5: Solve for x
    x = 206,249.83/473.57
  6. Step 6: Final answer
    x = 435.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.