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Finding the Fourth Proportional to 473.80, 661.70 and 473.80

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Solution

The fourth proportional to 473.80, 661.70 and 473.80 is: 661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.80 : 661.70 = 473.80 : x
  2. Step 2: Convert to fraction form
    473.80/661.70 = 473.80/x
  3. Step 3: Cross multiply
    473.80x = 661.70 × 473.80
  4. Step 4: Simplify right side
    473.80x = 313,513.46
  5. Step 5: Solve for x
    x = 313,513.46/473.80
  6. Step 6: Final answer
    x = 661.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.