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Finding the Fourth Proportional to 473.36, 706.72 and 400.48

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Solution

The fourth proportional to 473.36, 706.72 and 400.48 is: 597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.36 : 706.72 = 400.48 : x
  2. Step 2: Convert to fraction form
    473.36/706.72 = 400.48/x
  3. Step 3: Cross multiply
    473.36x = 706.72 × 400.48
  4. Step 4: Simplify right side
    473.36x = 283,027.23
  5. Step 5: Solve for x
    x = 283,027.23/473.36
  6. Step 6: Final answer
    x = 597.91

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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.