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Finding the Fourth Proportional to 597.85, 898.80 and 477.43

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Solution

The fourth proportional to 597.85, 898.80 and 477.43 is: 717.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.85 : 898.80 = 477.43 : x
  2. Step 2: Convert to fraction form
    597.85/898.80 = 477.43/x
  3. Step 3: Cross multiply
    597.85x = 898.80 × 477.43
  4. Step 4: Simplify right side
    597.85x = 429,114.08
  5. Step 5: Solve for x
    x = 429,114.08/597.85
  6. Step 6: Final answer
    x = 717.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.