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Finding the Fourth Proportional to 591.49, 816.17 and 342.76

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Solution

The fourth proportional to 591.49, 816.17 and 342.76 is: 472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.49 : 816.17 = 342.76 : x
  2. Step 2: Convert to fraction form
    591.49/816.17 = 342.76/x
  3. Step 3: Cross multiply
    591.49x = 816.17 × 342.76
  4. Step 4: Simplify right side
    591.49x = 279,749.17
  5. Step 5: Solve for x
    x = 279,749.17/591.49
  6. Step 6: Final answer
    x = 472.96

Related Problems

Find fourth proportional to 295.74, 408.08 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.