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Finding the Fourth Proportional to 472.95, 652.73 and 457.83

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Solution

The fourth proportional to 472.95, 652.73 and 457.83 is: 631.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.95 : 652.73 = 457.83 : x
  2. Step 2: Convert to fraction form
    472.95/652.73 = 457.83/x
  3. Step 3: Cross multiply
    472.95x = 652.73 × 457.83
  4. Step 4: Simplify right side
    472.95x = 298,837.09
  5. Step 5: Solve for x
    x = 298,837.09/472.95
  6. Step 6: Final answer
    x = 631.86

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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.