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Finding the Fourth Proportional to 469.40, 700.76 and 396.48

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Solution

The fourth proportional to 469.40, 700.76 and 396.48 is: 591.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.40 : 700.76 = 396.48 : x
  2. Step 2: Convert to fraction form
    469.40/700.76 = 396.48/x
  3. Step 3: Cross multiply
    469.40x = 700.76 × 396.48
  4. Step 4: Simplify right side
    469.40x = 277,837.32
  5. Step 5: Solve for x
    x = 277,837.32/469.40
  6. Step 6: Final answer
    x = 591.90

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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.