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Finding the Fourth Proportional to 472.44, 705.16 and 402.58

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Solution

The fourth proportional to 472.44, 705.16 and 402.58 is: 600.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.44 : 705.16 = 402.58 : x
  2. Step 2: Convert to fraction form
    472.44/705.16 = 402.58/x
  3. Step 3: Cross multiply
    472.44x = 705.16 × 402.58
  4. Step 4: Simplify right side
    472.44x = 283,883.31
  5. Step 5: Solve for x
    x = 283,883.31/472.44
  6. Step 6: Final answer
    x = 600.89

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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.