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Finding the Fourth Proportional to 566.18, 782.09 and 443.40

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Solution

The fourth proportional to 566.18, 782.09 and 443.40 is: 612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.18 : 782.09 = 443.40 : x
  2. Step 2: Convert to fraction form
    566.18/782.09 = 443.40/x
  3. Step 3: Cross multiply
    566.18x = 782.09 × 443.40
  4. Step 4: Simplify right side
    566.18x = 346,778.71
  5. Step 5: Solve for x
    x = 346,778.71/566.18
  6. Step 6: Final answer
    x = 612.49

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1.5x scale

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.