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Finding the Fourth Proportional to 566.25, 782.05 and 389.69

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Solution

The fourth proportional to 566.25, 782.05 and 389.69 is: 538.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.25 : 782.05 = 389.69 : x
  2. Step 2: Convert to fraction form
    566.25/782.05 = 389.69/x
  3. Step 3: Cross multiply
    566.25x = 782.05 × 389.69
  4. Step 4: Simplify right side
    566.25x = 304,752.18
  5. Step 5: Solve for x
    x = 304,752.18/566.25
  6. Step 6: Final answer
    x = 538.19

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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.