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Finding the Fourth Proportional to 560.78, 841.05 and 190.59

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Solution

The fourth proportional to 560.78, 841.05 and 190.59 is: 285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.78 : 841.05 = 190.59 : x
  2. Step 2: Convert to fraction form
    560.78/841.05 = 190.59/x
  3. Step 3: Cross multiply
    560.78x = 841.05 × 190.59
  4. Step 4: Simplify right side
    560.78x = 160,295.72
  5. Step 5: Solve for x
    x = 160,295.72/560.78
  6. Step 6: Final answer
    x = 285.85

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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.