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Finding the Fourth Proportional to 524.03, 784.51 and 328.40

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Solution

The fourth proportional to 524.03, 784.51 and 328.40 is: 491.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.03 : 784.51 = 328.40 : x
  2. Step 2: Convert to fraction form
    524.03/784.51 = 328.40/x
  3. Step 3: Cross multiply
    524.03x = 784.51 × 328.40
  4. Step 4: Simplify right side
    524.03x = 257,628.34
  5. Step 5: Solve for x
    x = 257,628.34/524.03
  6. Step 6: Final answer
    x = 491.63

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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.