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Finding the Fourth Proportional to 524.74, 784.02 and 506.58

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Solution

The fourth proportional to 524.74, 784.02 and 506.58 is: 756.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.74 : 784.02 = 506.58 : x
  2. Step 2: Convert to fraction form
    524.74/784.02 = 506.58/x
  3. Step 3: Cross multiply
    524.74x = 784.02 × 506.58
  4. Step 4: Simplify right side
    524.74x = 397,168.85
  5. Step 5: Solve for x
    x = 397,168.85/524.74
  6. Step 6: Final answer
    x = 756.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.