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Finding the Fourth Proportional to 560.68, 840.97 and 354.63

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Solution

The fourth proportional to 560.68, 840.97 and 354.63 is: 531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.68 : 840.97 = 354.63 : x
  2. Step 2: Convert to fraction form
    560.68/840.97 = 354.63/x
  3. Step 3: Cross multiply
    560.68x = 840.97 × 354.63
  4. Step 4: Simplify right side
    560.68x = 298,231.56
  5. Step 5: Solve for x
    x = 298,231.56/560.68
  6. Step 6: Final answer
    x = 531.91

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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.