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Finding the Fourth Proportional to 505.04, 696.53 and 356.15

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Solution

The fourth proportional to 505.04, 696.53 and 356.15 is: 491.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.04 : 696.53 = 356.15 : x
  2. Step 2: Convert to fraction form
    505.04/696.53 = 356.15/x
  3. Step 3: Cross multiply
    505.04x = 696.53 × 356.15
  4. Step 4: Simplify right side
    505.04x = 248,063.90
  5. Step 5: Solve for x
    x = 248,063.90/505.04
  6. Step 6: Final answer
    x = 491.18

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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.