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Finding the Fourth Proportional to 473.95, 707.39 and 404.08

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Solution

The fourth proportional to 473.95, 707.39 and 404.08 is: 603.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.95 : 707.39 = 404.08 : x
  2. Step 2: Convert to fraction form
    473.95/707.39 = 404.08/x
  3. Step 3: Cross multiply
    473.95x = 707.39 × 404.08
  4. Step 4: Simplify right side
    473.95x = 285,842.15
  5. Step 5: Solve for x
    x = 285,842.15/473.95
  6. Step 6: Final answer
    x = 603.11

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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.