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Finding the Fourth Proportional to 473.15, 708.93 and 300.02

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Solution

The fourth proportional to 473.15, 708.93 and 300.02 is: 449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.15 : 708.93 = 300.02 : x
  2. Step 2: Convert to fraction form
    473.15/708.93 = 300.02/x
  3. Step 3: Cross multiply
    473.15x = 708.93 × 300.02
  4. Step 4: Simplify right side
    473.15x = 212,689.63
  5. Step 5: Solve for x
    x = 212,689.63/473.15
  6. Step 6: Final answer
    x = 449.52

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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.