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Finding the Fourth Proportional to 524.63, 723.78 and 328.28

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Solution

The fourth proportional to 524.63, 723.78 and 328.28 is: 452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.63 : 723.78 = 328.28 : x
  2. Step 2: Convert to fraction form
    524.63/723.78 = 328.28/x
  3. Step 3: Cross multiply
    524.63x = 723.78 × 328.28
  4. Step 4: Simplify right side
    524.63x = 237,598.88
  5. Step 5: Solve for x
    x = 237,598.88/524.63
  6. Step 6: Final answer
    x = 452.89

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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.