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Finding the Fourth Proportional to 832.35, 1,240.15 and 820.47

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Solution

The fourth proportional to 832.35, 1,240.15 and 820.47 is: 1,222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.35 : 1,240.15 = 820.47 : x
  2. Step 2: Convert to fraction form
    832.35/1,240.15 = 820.47/x
  3. Step 3: Cross multiply
    832.35x = 1,240.15 × 820.47
  4. Step 4: Simplify right side
    832.35x = 1,017,503.82
  5. Step 5: Solve for x
    x = 1,017,503.82/832.35
  6. Step 6: Final answer
    x = 1,222.45

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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.