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Finding the Fourth Proportional to 560.23, 773.46 and 412.60

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Solution

The fourth proportional to 560.23, 773.46 and 412.60 is: 569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.23 : 773.46 = 412.60 : x
  2. Step 2: Convert to fraction form
    560.23/773.46 = 412.60/x
  3. Step 3: Cross multiply
    560.23x = 773.46 × 412.60
  4. Step 4: Simplify right side
    560.23x = 319,129.60
  5. Step 5: Solve for x
    x = 319,129.60/560.23
  6. Step 6: Final answer
    x = 569.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.