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Finding the Fourth Proportional to 524.76, 784.40 and 369.65

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Solution

The fourth proportional to 524.76, 784.40 and 369.65 is: 552.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.76 : 784.40 = 369.65 : x
  2. Step 2: Convert to fraction form
    524.76/784.40 = 369.65/x
  3. Step 3: Cross multiply
    524.76x = 784.40 × 369.65
  4. Step 4: Simplify right side
    524.76x = 289,947.69
  5. Step 5: Solve for x
    x = 289,947.69/524.76
  6. Step 6: Final answer
    x = 552.53

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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.