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Finding the Fourth Proportional to 524.39, 784.74 and 494.79

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Solution

The fourth proportional to 524.39, 784.74 and 494.79 is: 740.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.39 : 784.74 = 494.79 : x
  2. Step 2: Convert to fraction form
    524.39/784.74 = 494.79/x
  3. Step 3: Cross multiply
    524.39x = 784.74 × 494.79
  4. Step 4: Simplify right side
    524.39x = 388,281.50
  5. Step 5: Solve for x
    x = 388,281.50/524.39
  6. Step 6: Final answer
    x = 740.44

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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.