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Finding the Fourth Proportional to 505.95, 696.46 and 436.24

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Solution

The fourth proportional to 505.95, 696.46 and 436.24 is: 600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.95 : 696.46 = 436.24 : x
  2. Step 2: Convert to fraction form
    505.95/696.46 = 436.24/x
  3. Step 3: Cross multiply
    505.95x = 696.46 × 436.24
  4. Step 4: Simplify right side
    505.95x = 303,821.53
  5. Step 5: Solve for x
    x = 303,821.53/505.95
  6. Step 6: Final answer
    x = 600.50

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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.