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Finding the Fourth Proportional to 598.40, 893.60 and 517.44

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Solution

The fourth proportional to 598.40, 893.60 and 517.44 is: 772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.40 : 893.60 = 517.44 : x
  2. Step 2: Convert to fraction form
    598.40/893.60 = 517.44/x
  3. Step 3: Cross multiply
    598.40x = 893.60 × 517.44
  4. Step 4: Simplify right side
    598.40x = 462,384.38
  5. Step 5: Solve for x
    x = 462,384.38/598.40
  6. Step 6: Final answer
    x = 772.70

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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.