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Finding the Fourth Proportional to 832.81, 1,148.75 and 522.49

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Solution

The fourth proportional to 832.81, 1,148.75 and 522.49 is: 720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.81 : 1,148.75 = 522.49 : x
  2. Step 2: Convert to fraction form
    832.81/1,148.75 = 522.49/x
  3. Step 3: Cross multiply
    832.81x = 1,148.75 × 522.49
  4. Step 4: Simplify right side
    832.81x = 600,205.95
  5. Step 5: Solve for x
    x = 600,205.95/832.81
  6. Step 6: Final answer
    x = 720.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.