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Finding the Fourth Proportional to 524.69, 723.80 and 314.76

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Solution

The fourth proportional to 524.69, 723.80 and 314.76 is: 434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.69 : 723.80 = 314.76 : x
  2. Step 2: Convert to fraction form
    524.69/723.80 = 314.76/x
  3. Step 3: Cross multiply
    524.69x = 723.80 × 314.76
  4. Step 4: Simplify right side
    524.69x = 227,821.71
  5. Step 5: Solve for x
    x = 227,821.71/524.69
  6. Step 6: Final answer
    x = 434.21

Related Problems

Find fourth proportional to 262.34, 361.90 and 157.38
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Double scale
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Similar ratio
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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.