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Finding the Fourth Proportional to 472.68, 653.22 and 383.99

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Solution

The fourth proportional to 472.68, 653.22 and 383.99 is: 530.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.68 : 653.22 = 383.99 : x
  2. Step 2: Convert to fraction form
    472.68/653.22 = 383.99/x
  3. Step 3: Cross multiply
    472.68x = 653.22 × 383.99
  4. Step 4: Simplify right side
    472.68x = 250,826.68
  5. Step 5: Solve for x
    x = 250,826.68/472.68
  6. Step 6: Final answer
    x = 530.65

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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.