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Finding the Fourth Proportional to 560.50, 840.37 and 450.94

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Solution

The fourth proportional to 560.50, 840.37 and 450.94 is: 676.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.50 : 840.37 = 450.94 : x
  2. Step 2: Convert to fraction form
    560.50/840.37 = 450.94/x
  3. Step 3: Cross multiply
    560.50x = 840.37 × 450.94
  4. Step 4: Simplify right side
    560.50x = 378,957.78
  5. Step 5: Solve for x
    x = 378,957.78/560.50
  6. Step 6: Final answer
    x = 676.10

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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.