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Finding the Fourth Proportional to 748.00, 1,032.37 and 486.77

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Solution

The fourth proportional to 748.00, 1,032.37 and 486.77 is: 671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.00 : 1,032.37 = 486.77 : x
  2. Step 2: Convert to fraction form
    748.00/1,032.37 = 486.77/x
  3. Step 3: Cross multiply
    748.00x = 1,032.37 × 486.77
  4. Step 4: Simplify right side
    748.00x = 502,528.11
  5. Step 5: Solve for x
    x = 502,528.11/748.00
  6. Step 6: Final answer
    x = 671.83

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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.