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Finding the Fourth Proportional to 605.93, 836.50 and 429.03

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Solution

The fourth proportional to 605.93, 836.50 and 429.03 is: 592.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.93 : 836.50 = 429.03 : x
  2. Step 2: Convert to fraction form
    605.93/836.50 = 429.03/x
  3. Step 3: Cross multiply
    605.93x = 836.50 × 429.03
  4. Step 4: Simplify right side
    605.93x = 358,881.45
  5. Step 5: Solve for x
    x = 358,881.45/605.93
  6. Step 6: Final answer
    x = 592.28

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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.