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Finding the Fourth Proportional to 566.64, 782.28 and 442.08

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Solution

The fourth proportional to 566.64, 782.28 and 442.08 is: 610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.64 : 782.28 = 442.08 : x
  2. Step 2: Convert to fraction form
    566.64/782.28 = 442.08/x
  3. Step 3: Cross multiply
    566.64x = 782.28 × 442.08
  4. Step 4: Simplify right side
    566.64x = 345,830.34
  5. Step 5: Solve for x
    x = 345,830.34/566.64
  6. Step 6: Final answer
    x = 610.32

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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.