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Finding the Fourth Proportional to 523.68, 784.84 and 215.18

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Solution

The fourth proportional to 523.68, 784.84 and 215.18 is: 322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.68 : 784.84 = 215.18 : x
  2. Step 2: Convert to fraction form
    523.68/784.84 = 215.18/x
  3. Step 3: Cross multiply
    523.68x = 784.84 × 215.18
  4. Step 4: Simplify right side
    523.68x = 168,880.80
  5. Step 5: Solve for x
    x = 168,880.80/523.68
  6. Step 6: Final answer
    x = 322.49

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1.5x scale

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.