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Finding the Fourth Proportional to 560.16, 773.10 and 412.56

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Solution

The fourth proportional to 560.16, 773.10 and 412.56 is: 569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.16 : 773.10 = 412.56 : x
  2. Step 2: Convert to fraction form
    560.16/773.10 = 412.56/x
  3. Step 3: Cross multiply
    560.16x = 773.10 × 412.56
  4. Step 4: Simplify right side
    560.16x = 318,950.14
  5. Step 5: Solve for x
    x = 318,950.14/560.16
  6. Step 6: Final answer
    x = 569.39

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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.