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Finding the Fourth Proportional to 505.68, 696.60 and 407.76

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Solution

The fourth proportional to 505.68, 696.60 and 407.76 is: 561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.68 : 696.60 = 407.76 : x
  2. Step 2: Convert to fraction form
    505.68/696.60 = 407.76/x
  3. Step 3: Cross multiply
    505.68x = 696.60 × 407.76
  4. Step 4: Simplify right side
    505.68x = 284,045.62
  5. Step 5: Solve for x
    x = 284,045.62/505.68
  6. Step 6: Final answer
    x = 561.71

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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.