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Finding the Fourth Proportional to 603.85, 832.40 and 472.63

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Solution

The fourth proportional to 603.85, 832.40 and 472.63 is: 651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.85 : 832.40 = 472.63 : x
  2. Step 2: Convert to fraction form
    603.85/832.40 = 472.63/x
  3. Step 3: Cross multiply
    603.85x = 832.40 × 472.63
  4. Step 4: Simplify right side
    603.85x = 393,417.21
  5. Step 5: Solve for x
    x = 393,417.21/603.85
  6. Step 6: Final answer
    x = 651.51

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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.