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Finding the Fourth Proportional to 784.16, 1,082.13 and 452.58

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Solution

The fourth proportional to 784.16, 1,082.13 and 452.58 is: 624.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.16 : 1,082.13 = 452.58 : x
  2. Step 2: Convert to fraction form
    784.16/1,082.13 = 452.58/x
  3. Step 3: Cross multiply
    784.16x = 1,082.13 × 452.58
  4. Step 4: Simplify right side
    784.16x = 489,744.98
  5. Step 5: Solve for x
    x = 489,744.98/784.16
  6. Step 6: Final answer
    x = 624.55

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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.