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Finding the Fourth Proportional to 753.62, 1,130.42 and 521.82

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Solution

The fourth proportional to 753.62, 1,130.42 and 521.82 is: 782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.62 : 1,130.42 = 521.82 : x
  2. Step 2: Convert to fraction form
    753.62/1,130.42 = 521.82/x
  3. Step 3: Cross multiply
    753.62x = 1,130.42 × 521.82
  4. Step 4: Simplify right side
    753.62x = 589,877.07
  5. Step 5: Solve for x
    x = 589,877.07/753.62
  6. Step 6: Final answer
    x = 782.73

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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.