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Finding the Fourth Proportional to 472.76, 652.62 and 356.36

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Solution

The fourth proportional to 472.76, 652.62 and 356.36 is: 491.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.76 : 652.62 = 356.36 : x
  2. Step 2: Convert to fraction form
    472.76/652.62 = 356.36/x
  3. Step 3: Cross multiply
    472.76x = 652.62 × 356.36
  4. Step 4: Simplify right side
    472.76x = 232,567.66
  5. Step 5: Solve for x
    x = 232,567.66/472.76
  6. Step 6: Final answer
    x = 491.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.