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Finding the Fourth Proportional to 521.61, 783.24 and 502.98

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Solution

The fourth proportional to 521.61, 783.24 and 502.98 is: 755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.61 : 783.24 = 502.98 : x
  2. Step 2: Convert to fraction form
    521.61/783.24 = 502.98/x
  3. Step 3: Cross multiply
    521.61x = 783.24 × 502.98
  4. Step 4: Simplify right side
    521.61x = 393,954.06
  5. Step 5: Solve for x
    x = 393,954.06/521.61
  6. Step 6: Final answer
    x = 755.27

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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.