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Finding the Fourth Proportional to 560.32, 838.74 and 299.68

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Solution

The fourth proportional to 560.32, 838.74 and 299.68 is: 448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.32 : 838.74 = 299.68 : x
  2. Step 2: Convert to fraction form
    560.32/838.74 = 299.68/x
  3. Step 3: Cross multiply
    560.32x = 838.74 × 299.68
  4. Step 4: Simplify right side
    560.32x = 251,353.60
  5. Step 5: Solve for x
    x = 251,353.60/560.32
  6. Step 6: Final answer
    x = 448.59

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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.