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Finding the Fourth Proportional to 591.63, 816.09 and 342.77

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Solution

The fourth proportional to 591.63, 816.09 and 342.77 is: 472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.63 : 816.09 = 342.77 : x
  2. Step 2: Convert to fraction form
    591.63/816.09 = 342.77/x
  3. Step 3: Cross multiply
    591.63x = 816.09 × 342.77
  4. Step 4: Simplify right side
    591.63x = 279,727.09
  5. Step 5: Solve for x
    x = 279,727.09/591.63
  6. Step 6: Final answer
    x = 472.81

Related Problems

Find fourth proportional to 295.82, 408.05 and 171.38
Half scale
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Double scale
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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.