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Finding the Fourth Proportional to 521.16, 782.58 and 429.66

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Solution

The fourth proportional to 521.16, 782.58 and 429.66 is: 645.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.16 : 782.58 = 429.66 : x
  2. Step 2: Convert to fraction form
    521.16/782.58 = 429.66/x
  3. Step 3: Cross multiply
    521.16x = 782.58 × 429.66
  4. Step 4: Simplify right side
    521.16x = 336,243.32
  5. Step 5: Solve for x
    x = 336,243.32/521.16
  6. Step 6: Final answer
    x = 645.18

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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.