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Finding the Fourth Proportional to 647.54, 893.00 and 426.10

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Solution

The fourth proportional to 647.54, 893.00 and 426.10 is: 587.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.54 : 893.00 = 426.10 : x
  2. Step 2: Convert to fraction form
    647.54/893.00 = 426.10/x
  3. Step 3: Cross multiply
    647.54x = 893.00 × 426.10
  4. Step 4: Simplify right side
    647.54x = 380,506.29
  5. Step 5: Solve for x
    x = 380,506.29/647.54
  6. Step 6: Final answer
    x = 587.62

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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.