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Finding the Fourth Proportional to 473.65, 707.49 and 465

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Solution

The fourth proportional to 473.65, 707.49 and 465 is: 694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.65 : 707.49 = 465 : x
  2. Step 2: Convert to fraction form
    473.65/707.49 = 465/x
  3. Step 3: Cross multiply
    473.65x = 707.49 × 465
  4. Step 4: Simplify right side
    473.65x = 328,982.85
  5. Step 5: Solve for x
    x = 328,982.85/473.65
  6. Step 6: Final answer
    x = 694.57

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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.