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Finding the Fourth Proportional to 521.66, 782.50 and 317.54

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Solution

The fourth proportional to 521.66, 782.50 and 317.54 is: 476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.66 : 782.50 = 317.54 : x
  2. Step 2: Convert to fraction form
    521.66/782.50 = 317.54/x
  3. Step 3: Cross multiply
    521.66x = 782.50 × 317.54
  4. Step 4: Simplify right side
    521.66x = 248,475.05
  5. Step 5: Solve for x
    x = 248,475.05/521.66
  6. Step 6: Final answer
    x = 476.32

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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.