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Finding the Fourth Proportional to 524.53, 723.58 and 369.01

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Solution

The fourth proportional to 524.53, 723.58 and 369.01 is: 509.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.53 : 723.58 = 369.01 : x
  2. Step 2: Convert to fraction form
    524.53/723.58 = 369.01/x
  3. Step 3: Cross multiply
    524.53x = 723.58 × 369.01
  4. Step 4: Simplify right side
    524.53x = 267,008.26
  5. Step 5: Solve for x
    x = 267,008.26/524.53
  6. Step 6: Final answer
    x = 509.04

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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.