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Finding the Fourth Proportional to 473.65, 707.16 and 446.01

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Solution

The fourth proportional to 473.65, 707.16 and 446.01 is: 665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.65 : 707.16 = 446.01 : x
  2. Step 2: Convert to fraction form
    473.65/707.16 = 446.01/x
  3. Step 3: Cross multiply
    473.65x = 707.16 × 446.01
  4. Step 4: Simplify right side
    473.65x = 315,395.69
  5. Step 5: Solve for x
    x = 315,395.69/473.65
  6. Step 6: Final answer
    x = 665.89

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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.