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Finding the Fourth Proportional to 505.36, 699.24 and 440.08

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Solution

The fourth proportional to 505.36, 699.24 and 440.08 is: 608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.36 : 699.24 = 440.08 : x
  2. Step 2: Convert to fraction form
    505.36/699.24 = 440.08/x
  3. Step 3: Cross multiply
    505.36x = 699.24 × 440.08
  4. Step 4: Simplify right side
    505.36x = 307,721.54
  5. Step 5: Solve for x
    x = 307,721.54/505.36
  6. Step 6: Final answer
    x = 608.92

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1.5x scale

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.