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Finding the Fourth Proportional to 524.28, 790.10 and 499.58

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Solution

The fourth proportional to 524.28, 790.10 and 499.58 is: 752.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.28 : 790.10 = 499.58 : x
  2. Step 2: Convert to fraction form
    524.28/790.10 = 499.58/x
  3. Step 3: Cross multiply
    524.28x = 790.10 × 499.58
  4. Step 4: Simplify right side
    524.28x = 394,718.16
  5. Step 5: Solve for x
    x = 394,718.16/524.28
  6. Step 6: Final answer
    x = 752.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.