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Finding the Fourth Proportional to 604.66, 910.71 and 561.88

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Solution

The fourth proportional to 604.66, 910.71 and 561.88 is: 846.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.66 : 910.71 = 561.88 : x
  2. Step 2: Convert to fraction form
    604.66/910.71 = 561.88/x
  3. Step 3: Cross multiply
    604.66x = 910.71 × 561.88
  4. Step 4: Simplify right side
    604.66x = 511,708.31
  5. Step 5: Solve for x
    x = 511,708.31/604.66
  6. Step 6: Final answer
    x = 846.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.