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Finding the Fourth Proportional to 560.02, 839.86 and 450.07

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Solution

The fourth proportional to 560.02, 839.86 and 450.07 is: 674.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.02 : 839.86 = 450.07 : x
  2. Step 2: Convert to fraction form
    560.02/839.86 = 450.07/x
  3. Step 3: Cross multiply
    560.02x = 839.86 × 450.07
  4. Step 4: Simplify right side
    560.02x = 377,997.19
  5. Step 5: Solve for x
    x = 377,997.19/560.02
  6. Step 6: Final answer
    x = 674.97

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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.