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Finding the Fourth Proportional to 505.79, 696.23 and 440.18

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Solution

The fourth proportional to 505.79, 696.23 and 440.18 is: 605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.79 : 696.23 = 440.18 : x
  2. Step 2: Convert to fraction form
    505.79/696.23 = 440.18/x
  3. Step 3: Cross multiply
    505.79x = 696.23 × 440.18
  4. Step 4: Simplify right side
    505.79x = 306,460.84
  5. Step 5: Solve for x
    x = 306,460.84/505.79
  6. Step 6: Final answer
    x = 605.91

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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.