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Finding the Fourth Proportional to 648.02, 893.81 and 595.77

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Solution

The fourth proportional to 648.02, 893.81 and 595.77 is: 821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.02 : 893.81 = 595.77 : x
  2. Step 2: Convert to fraction form
    648.02/893.81 = 595.77/x
  3. Step 3: Cross multiply
    648.02x = 893.81 × 595.77
  4. Step 4: Simplify right side
    648.02x = 532,502.20
  5. Step 5: Solve for x
    x = 532,502.20/648.02
  6. Step 6: Final answer
    x = 821.74

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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.