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Finding the Fourth Proportional to 562.95, 771.30 and 556.11

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Solution

The fourth proportional to 562.95, 771.30 and 556.11 is: 761.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.95 : 771.30 = 556.11 : x
  2. Step 2: Convert to fraction form
    562.95/771.30 = 556.11/x
  3. Step 3: Cross multiply
    562.95x = 771.30 × 556.11
  4. Step 4: Simplify right side
    562.95x = 428,927.64
  5. Step 5: Solve for x
    x = 428,927.64/562.95
  6. Step 6: Final answer
    x = 761.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.