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Finding the Fourth Proportional to 603.70, 832.05 and 498.17

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Solution

The fourth proportional to 603.70, 832.05 and 498.17 is: 686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.70 : 832.05 = 498.17 : x
  2. Step 2: Convert to fraction form
    603.70/832.05 = 498.17/x
  3. Step 3: Cross multiply
    603.70x = 832.05 × 498.17
  4. Step 4: Simplify right side
    603.70x = 414,495.70
  5. Step 5: Solve for x
    x = 414,495.70/603.70
  6. Step 6: Final answer
    x = 686.59

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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.