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Finding the Fourth Proportional to 562.76, 776.67 and 405.35

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Solution

The fourth proportional to 562.76, 776.67 and 405.35 is: 559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.76 : 776.67 = 405.35 : x
  2. Step 2: Convert to fraction form
    562.76/776.67 = 405.35/x
  3. Step 3: Cross multiply
    562.76x = 776.67 × 405.35
  4. Step 4: Simplify right side
    562.76x = 314,823.18
  5. Step 5: Solve for x
    x = 314,823.18/562.76
  6. Step 6: Final answer
    x = 559.43

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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.