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Finding the Fourth Proportional to 647.24, 893.46 and 434.60

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Solution

The fourth proportional to 647.24, 893.46 and 434.60 is: 599.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.24 : 893.46 = 434.60 : x
  2. Step 2: Convert to fraction form
    647.24/893.46 = 434.60/x
  3. Step 3: Cross multiply
    647.24x = 893.46 × 434.60
  4. Step 4: Simplify right side
    647.24x = 388,297.72
  5. Step 5: Solve for x
    x = 388,297.72/647.24
  6. Step 6: Final answer
    x = 599.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.