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Finding the Fourth Proportional to 473.19, 708.95 and 404.02

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Solution

The fourth proportional to 473.19, 708.95 and 404.02 is: 605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.19 : 708.95 = 404.02 : x
  2. Step 2: Convert to fraction form
    473.19/708.95 = 404.02/x
  3. Step 3: Cross multiply
    473.19x = 708.95 × 404.02
  4. Step 4: Simplify right side
    473.19x = 286,429.98
  5. Step 5: Solve for x
    x = 286,429.98/473.19
  6. Step 6: Final answer
    x = 605.32

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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.