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Finding the Fourth Proportional to 647.89, 893.47 and 438.10

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Solution

The fourth proportional to 647.89, 893.47 and 438.10 is: 604.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.89 : 893.47 = 438.10 : x
  2. Step 2: Convert to fraction form
    647.89/893.47 = 438.10/x
  3. Step 3: Cross multiply
    647.89x = 893.47 × 438.10
  4. Step 4: Simplify right side
    647.89x = 391,429.21
  5. Step 5: Solve for x
    x = 391,429.21/647.89
  6. Step 6: Final answer
    x = 604.16

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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.