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Finding the Fourth Proportional to 605.40, 903.12 and 559.50

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Solution

The fourth proportional to 605.40, 903.12 and 559.50 is: 834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.40 : 903.12 = 559.50 : x
  2. Step 2: Convert to fraction form
    605.40/903.12 = 559.50/x
  3. Step 3: Cross multiply
    605.40x = 903.12 × 559.50
  4. Step 4: Simplify right side
    605.40x = 505,295.64
  5. Step 5: Solve for x
    x = 505,295.64/605.40
  6. Step 6: Final answer
    x = 834.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.