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Finding the Fourth Proportional to 472.34, 651.77 and 285.77

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Solution

The fourth proportional to 472.34, 651.77 and 285.77 is: 394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.34 : 651.77 = 285.77 : x
  2. Step 2: Convert to fraction form
    472.34/651.77 = 285.77/x
  3. Step 3: Cross multiply
    472.34x = 651.77 × 285.77
  4. Step 4: Simplify right side
    472.34x = 186,251.63
  5. Step 5: Solve for x
    x = 186,251.63/472.34
  6. Step 6: Final answer
    x = 394.32

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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.