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Finding the Fourth Proportional to 605.16, 833.40 and 464.76

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Solution

The fourth proportional to 605.16, 833.40 and 464.76 is: 640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.16 : 833.40 = 464.76 : x
  2. Step 2: Convert to fraction form
    605.16/833.40 = 464.76/x
  3. Step 3: Cross multiply
    605.16x = 833.40 × 464.76
  4. Step 4: Simplify right side
    605.16x = 387,330.98
  5. Step 5: Solve for x
    x = 387,330.98/605.16
  6. Step 6: Final answer
    x = 640.05

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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.