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Finding the Fourth Proportional to 611.25, 841.99 and 566.40

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Solution

The fourth proportional to 611.25, 841.99 and 566.40 is: 780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.25 : 841.99 = 566.40 : x
  2. Step 2: Convert to fraction form
    611.25/841.99 = 566.40/x
  3. Step 3: Cross multiply
    611.25x = 841.99 × 566.40
  4. Step 4: Simplify right side
    611.25x = 476,907.34
  5. Step 5: Solve for x
    x = 476,907.34/611.25
  6. Step 6: Final answer
    x = 780.21

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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.