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Finding the Fourth Proportional to 505.66, 695.86 and 491.38

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Solution

The fourth proportional to 505.66, 695.86 and 491.38 is: 676.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.66 : 695.86 = 491.38 : x
  2. Step 2: Convert to fraction form
    505.66/695.86 = 491.38/x
  3. Step 3: Cross multiply
    505.66x = 695.86 × 491.38
  4. Step 4: Simplify right side
    505.66x = 341,931.69
  5. Step 5: Solve for x
    x = 341,931.69/505.66
  6. Step 6: Final answer
    x = 676.21

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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.