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Finding the Fourth Proportional to 524.49, 784.90 and 437.01

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Solution

The fourth proportional to 524.49, 784.90 and 437.01 is: 653.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.49 : 784.90 = 437.01 : x
  2. Step 2: Convert to fraction form
    524.49/784.90 = 437.01/x
  3. Step 3: Cross multiply
    524.49x = 784.90 × 437.01
  4. Step 4: Simplify right side
    524.49x = 343,009.15
  5. Step 5: Solve for x
    x = 343,009.15/524.49
  6. Step 6: Final answer
    x = 653.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.