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Finding the Fourth Proportional to 1,188.61, 1,783.55 and 563.76

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Solution

The fourth proportional to 1,188.61, 1,783.55 and 563.76 is: 845.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.61 : 1,783.55 = 563.76 : x
  2. Step 2: Convert to fraction form
    1,188.61/1,783.55 = 563.76/x
  3. Step 3: Cross multiply
    1,188.61x = 1,783.55 × 563.76
  4. Step 4: Simplify right side
    1,188.61x = 1,005,495.56
  5. Step 5: Solve for x
    x = 1,005,495.56/1,188.61
  6. Step 6: Final answer
    x = 845.94

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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.