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Finding the Fourth Proportional to 524.76, 723.96 and 328.14

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Solution

The fourth proportional to 524.76, 723.96 and 328.14 is: 452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.76 : 723.96 = 328.14 : x
  2. Step 2: Convert to fraction form
    524.76/723.96 = 328.14/x
  3. Step 3: Cross multiply
    524.76x = 723.96 × 328.14
  4. Step 4: Simplify right side
    524.76x = 237,560.23
  5. Step 5: Solve for x
    x = 237,560.23/524.76
  6. Step 6: Final answer
    x = 452.70

Related Problems

Find fourth proportional to 262.38, 361.98 and 164.07
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Double scale
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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.