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Finding the Fourth Proportional to 594.78, 888.10 and 471.66

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Solution

The fourth proportional to 594.78, 888.10 and 471.66 is: 704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.78 : 888.10 = 471.66 : x
  2. Step 2: Convert to fraction form
    594.78/888.10 = 471.66/x
  3. Step 3: Cross multiply
    594.78x = 888.10 × 471.66
  4. Step 4: Simplify right side
    594.78x = 418,881.25
  5. Step 5: Solve for x
    x = 418,881.25/594.78
  6. Step 6: Final answer
    x = 704.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.