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Finding the Fourth Proportional to 488.66, 729.51 and 471.58

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Solution

The fourth proportional to 488.66, 729.51 and 471.58 is: 704.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.66 : 729.51 = 471.58 : x
  2. Step 2: Convert to fraction form
    488.66/729.51 = 471.58/x
  3. Step 3: Cross multiply
    488.66x = 729.51 × 471.58
  4. Step 4: Simplify right side
    488.66x = 344,020.50
  5. Step 5: Solve for x
    x = 344,020.50/488.66
  6. Step 6: Final answer
    x = 704.00

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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.