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Finding the Fourth Proportional to 560.28, 837.33 and 414.34

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Solution

The fourth proportional to 560.28, 837.33 and 414.34 is: 619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.28 : 837.33 = 414.34 : x
  2. Step 2: Convert to fraction form
    560.28/837.33 = 414.34/x
  3. Step 3: Cross multiply
    560.28x = 837.33 × 414.34
  4. Step 4: Simplify right side
    560.28x = 346,939.31
  5. Step 5: Solve for x
    x = 346,939.31/560.28
  6. Step 6: Final answer
    x = 619.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.