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Finding the Fourth Proportional to 566.46, 782.55 and 562.14

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Solution

The fourth proportional to 566.46, 782.55 and 562.14 is: 776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.46 : 782.55 = 562.14 : x
  2. Step 2: Convert to fraction form
    566.46/782.55 = 562.14/x
  3. Step 3: Cross multiply
    566.46x = 782.55 × 562.14
  4. Step 4: Simplify right side
    566.46x = 439,902.66
  5. Step 5: Solve for x
    x = 439,902.66/566.46
  6. Step 6: Final answer
    x = 776.58

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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.