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Finding the Fourth Proportional to 472.80, 651.36 and 450.93

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Solution

The fourth proportional to 472.80, 651.36 and 450.93 is: 621.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.80 : 651.36 = 450.93 : x
  2. Step 2: Convert to fraction form
    472.80/651.36 = 450.93/x
  3. Step 3: Cross multiply
    472.80x = 651.36 × 450.93
  4. Step 4: Simplify right side
    472.80x = 293,717.76
  5. Step 5: Solve for x
    x = 293,717.76/472.80
  6. Step 6: Final answer
    x = 621.23

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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.