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Finding the Fourth Proportional to 1,603.94, 2,405.40 and 563.66

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Solution

The fourth proportional to 1,603.94, 2,405.40 and 563.66 is: 845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.94 : 2,405.40 = 563.66 : x
  2. Step 2: Convert to fraction form
    1,603.94/2,405.40 = 563.66/x
  3. Step 3: Cross multiply
    1,603.94x = 2,405.40 × 563.66
  4. Step 4: Simplify right side
    1,603.94x = 1,355,827.76
  5. Step 5: Solve for x
    x = 1,355,827.76/1,603.94
  6. Step 6: Final answer
    x = 845.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.