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Finding the Fourth Proportional to 524.63, 723.91 and 314.76

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Solution

The fourth proportional to 524.63, 723.91 and 314.76 is: 434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.63 : 723.91 = 314.76 : x
  2. Step 2: Convert to fraction form
    524.63/723.91 = 314.76/x
  3. Step 3: Cross multiply
    524.63x = 723.91 × 314.76
  4. Step 4: Simplify right side
    524.63x = 227,858.31
  5. Step 5: Solve for x
    x = 227,858.31/524.63
  6. Step 6: Final answer
    x = 434.32

Related Problems

Find fourth proportional to 262.31, 361.96 and 157.38
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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.